-2(x+3)=7-(x+2)

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Solution for -2(x+3)=7-(x+2) equation:


Simplifying
-2(x + 3) = 7 + -1(x + 2)

Reorder the terms:
-2(3 + x) = 7 + -1(x + 2)
(3 * -2 + x * -2) = 7 + -1(x + 2)
(-6 + -2x) = 7 + -1(x + 2)

Reorder the terms:
-6 + -2x = 7 + -1(2 + x)
-6 + -2x = 7 + (2 * -1 + x * -1)
-6 + -2x = 7 + (-2 + -1x)

Combine like terms: 7 + -2 = 5
-6 + -2x = 5 + -1x

Solving
-6 + -2x = 5 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-6 + -2x + x = 5 + -1x + x

Combine like terms: -2x + x = -1x
-6 + -1x = 5 + -1x + x

Combine like terms: -1x + x = 0
-6 + -1x = 5 + 0
-6 + -1x = 5

Add '6' to each side of the equation.
-6 + 6 + -1x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 5 + 6
-1x = 5 + 6

Combine like terms: 5 + 6 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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