4 - 2(2x - 1) = 18
subtract 4 for both sides
-2(2x - 1) = 14
divide -2 for both sides
2x - 1 = -7
add 1 for both sides
2x = -6
divide 2 for both sides
x = -3
4 -2(2x-1) = 18
a. Moving the 2 into the bracket gives you 4 - (4x -2) = 18
b. Removing the bracket now 4 - 4x + 2 = 18
c. Rearranging 4 + 2 - 4x = 18
d. Move the 18 to the left and the 4x to the right 4 + 2 - 18 = 4x
e. That is 6 - 18 = 4x
f. Meaning -12 = 4x
g. Therefore, x = -3
Answer: x = -3
To double check, substitute the value of x into the original LHS of the equation:
a. Becomes 4 -2(2*-3 -1) =? 18
b. Which is 4 -2(-6 -1) =? 18
c. That is 4 -2(-7) =? 18
d. That is 4 + 14 =? 18
e. That is 18 =? 18
Since 18 is = 18, our calculation is correct and x is -3.
4 – 2(2x – 1) = 18
4 - 4x + 2 = 18 {distribute the -2}
-4x + 6 = 18 {collect like terms on left}
-4x = 12 {subtract 6 from both sides}
x = - 3 {divide by -4}
4 - 4x + 2 = 18
=> 6 - 4x = 18
=> 6 -4x - 6 = 18 - 6
=> -4x = 12
=> -4x/4 = 12/4
=>-x = 3
=> x = -3
now to check
4 - 2(2(-3) - 1) = 18
=> 4 - 2(-6 - 1) = 18
=> 4 -2 (-7) = 18
=> 4 - -14 = 18
+> 4 + 14 = 18
=> 18 = 18
true x = -3
Here's the answer:
2 ( 2x - 1 ) = 18
4x - 2 = 18
4x - 2 - 18 = 0
4x -20 = 0
x - 5 = 0
x = 5
S.S = { 5 }
and to be sure :
4 -2 ( 2x - 1 ) = 18
4 (5) - 2 = 18
20 - 2 = 18
first distribute the 2 by multiplying to each component in the parenthesis
combine like terms
6 - 4x = 18
move the 6 to the other side by subtracting it from each side
- 4x = 12
get x by itself by dividing each side by - 4
-4x = 12
4 - (4x - 2) = 18
6 - 4x - 6 = 18 - 6
- 4x / - 4 = 12 / - 4
x = 12 / - 4
x = - 3
- - - - - - - -s-
4-2(2x-1)=18--problem
-4 -4--subtract 4 from both sides
--------------------equals
2(2x-1)=16
/2 /2--divide both sides by 2
2x-1=8
+1 +1 --add 1 to both sides
2x=9
/2 /2 --divide both sides by 2
x=4.5 --the answer
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Answers & Comments
Verified answer
4 - 2(2x - 1) = 18
subtract 4 for both sides
-2(2x - 1) = 14
divide -2 for both sides
2x - 1 = -7
add 1 for both sides
2x = -6
divide 2 for both sides
x = -3
4 -2(2x-1) = 18
a. Moving the 2 into the bracket gives you 4 - (4x -2) = 18
b. Removing the bracket now 4 - 4x + 2 = 18
c. Rearranging 4 + 2 - 4x = 18
d. Move the 18 to the left and the 4x to the right 4 + 2 - 18 = 4x
e. That is 6 - 18 = 4x
f. Meaning -12 = 4x
g. Therefore, x = -3
Answer: x = -3
To double check, substitute the value of x into the original LHS of the equation:
4 -2(2x-1) = 18
a. Becomes 4 -2(2*-3 -1) =? 18
b. Which is 4 -2(-6 -1) =? 18
c. That is 4 -2(-7) =? 18
d. That is 4 + 14 =? 18
e. That is 18 =? 18
Since 18 is = 18, our calculation is correct and x is -3.
4 – 2(2x – 1) = 18
4 - 4x + 2 = 18 {distribute the -2}
-4x + 6 = 18 {collect like terms on left}
-4x = 12 {subtract 6 from both sides}
x = - 3 {divide by -4}
4 - 4x + 2 = 18
=> 6 - 4x = 18
=> 6 -4x - 6 = 18 - 6
=> -4x = 12
=> -4x/4 = 12/4
=>-x = 3
=> x = -3
now to check
4 - 2(2(-3) - 1) = 18
=> 4 - 2(-6 - 1) = 18
=> 4 -2 (-7) = 18
=> 4 - -14 = 18
+> 4 + 14 = 18
=> 18 = 18
true x = -3
Here's the answer:
2 ( 2x - 1 ) = 18
4x - 2 = 18
4x - 2 - 18 = 0
4x -20 = 0
x - 5 = 0
x = 5
S.S = { 5 }
and to be sure :
4 -2 ( 2x - 1 ) = 18
2 ( 2x - 1 ) = 18
4x - 2 = 18
4 (5) - 2 = 18
20 - 2 = 18
4 - 2(2x - 1) = 18
first distribute the 2 by multiplying to each component in the parenthesis
4 - 4x + 2 = 18
combine like terms
6 - 4x = 18
move the 6 to the other side by subtracting it from each side
- 4x = 12
get x by itself by dividing each side by - 4
x = -3
4 - 2(2x - 1) = 18
4 - 4x + 2 = 18
6 - 4x = 18
-4x = 12
x = -3
4 - 2(2x - 1) = 18
4 - (4x - 2) = 18
4 - 4x + 2 = 18
6 - 4x = 18
6 - 4x - 6 = 18 - 6
- 4x = 12
- 4x / - 4 = 12 / - 4
x = 12 / - 4
x = - 3
- - - - - - - -s-
4-2(2x-1)=18--problem
-4 -4--subtract 4 from both sides
--------------------equals
2(2x-1)=16
/2 /2--divide both sides by 2
--------------------equals
2x-1=8
+1 +1 --add 1 to both sides
--------------------equals
2x=9
/2 /2 --divide both sides by 2
--------------------equals
x=4.5 --the answer