Verified answer

Distribute: ( Multiply what is outside of the parentheses with everything inside the perentheses)

-4 x (x) + -4 x -7= -4x + 28

3 x (x) + 3x 9 = 3x + 27

Add like terms:

-4x + 28 +3x + 27

-4x + 3x = -x

28 + 27 = 55

The answer is: -x + 55

In problems like this, you have to use the distributive property by multiplying each number to each parentheses by each number and variable in the parentheses. For example, if we had 3(x+6), you would simplify that to 3x+18 because 3(x)=3x, and 3*6=18. In this problem, you do similar things. You distribute the -4 and the 3 to each of the parentheses.

-4(x – 7) + 3(x + 9)

-4x+28+3x+27

Now just Combine terms after you've distributed the -4 and the 3.

-x+55 is your final answer simplified.

Now if you mean solve, then just simply set both parts of the problem equal to one another for each number for each parentheses.

-4(x – 7)=3(x + 9)

-4x+28=3x+27

Add 4x to both sides, and subtract 27 on both sides.

7x=1

Divide by 7 on each side.

x=1/7

To check your work, plug in 1/7 in the original equation. If you come up with a true solution, then your answer is correct.

-4x+28=3x+27

-4(1/7)+28=3(1/7)+27

-4/7+28=3/7+27

192/7=192/7

This is a true statement, therefore you know that x has to equal 1/7.

I hope I helped, and I hope I answered your question.

Maxwell

Step 1: use distributive property to open brackets

-4x + 28 + 3x + 27

Step 2: collect like terms

-4x + 3x + 28 + 27

-x + 55

Therefore -4(x - 7) + 3(x + 9) = -x + 55

First step expand the brackets by multiplying each digit on the inside by the number outside:

(-4 x X) - (-4 x 7) + (3 x X) + (3 x 9)

-4X 28 28 + 3X + 27

Add the co-efficients(numbers before) of X and the other numbers

(-4X + 3X) + (28 + 27)

(-X) + (55)

Answer:

-x + 55

Stuff in parentheses should be simplified before anything not in parentheses.

The short expressions inside the parentheses here cannot be simplified further because they contain 2 terms: a simple multiple of x and a simple constant. These terms cannot be combined.

Use the distributive law for each part of the expression (before any intervening + or -) that has parentheses.

There is one intervening +, and it's before the "3".

-4 is distributed (by multiplying) each term in the first ( ).

So the first term before the + will be

-4 times x

minus

-4 times 7

which is

-4x+7

The second term (after the intervening +) will be

3, distributed over (x+9), or

3 times x

plus

3 times 9

which is

3x + 27

The intervening + tells you to add these terms, and to do it after the steps above.

Another way of saying the order of steps is that

in the absence of parentheses, multiplication takes precedence over addition or subtraction.

You always have to add multiples of x together,

and add plain numbers together, and doing so will give you two terms.

Adding the terms, you should get

-4x + 3x and

7+27

or -1x (which is also called -x) +34

The proper way to write this is

-x+34

No further simplification is possible because multiples of x and constants cannot be combined.

- 4(x - 7) + 3(x + 9) =

- 4x + 28 + 3x + 27 =

- x + 55

or

x - 55.

Using the Distributive Property, distribute the -4 and 3 to the parentheses.

-4x+28+3x+27

Add like terms

-x+55

All done :)

Using the distributive property:

a(b + c) = ab + ac

-4x + 28 + 3x + 27

-x + 55

ANSWER

55 - x