The equation will become 2x =x+2 as you subtract 3 from the two facets simply by fact 3 is smaller than 5. then you truthfully do away with the x from x+2 and 2x which supplies you the reply x=2. ultimately you are able to verify if x=2 via doing 2*2+3 it is 7 so the different section would desire to equivalent 7 to boot it is stable as 2+5=7, it is an basic algebra equation.
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Verified answer
-2(x - 3) >= 5 - (x + 3)
distribute:
-2x + 3 >= 8 - x
add 2x to both sides, subtract 8 from both sides:
-5 >= x
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The equation will become 2x =x+2 as you subtract 3 from the two facets simply by fact 3 is smaller than 5. then you truthfully do away with the x from x+2 and 2x which supplies you the reply x=2. ultimately you are able to verify if x=2 via doing 2*2+3 it is 7 so the different section would desire to equivalent 7 to boot it is stable as 2+5=7, it is an basic algebra equation.
–2(x – 3) ≥ 5– (x + 3)
-2x+6 ≥ 5–x-3 {just opened the brackets}
-2x+x ≥5-3-6 {moved variable -x on left hand side of in-equation and +6 on right hand side.}
-x ≥ -4 {solving we get this}
x ≤ 4 {changing sign of inequality}
so final answer is x ≤ 4