8x-(12+3x)+7=-2+2x-(7-x)

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Solution for 8x-(12+3x)+7=-2+2x-(7-x) equation:


Simplifying
8x + -1(12 + 3x) + 7 = -2 + 2x + -1(7 + -1x)
8x + (12 * -1 + 3x * -1) + 7 = -2 + 2x + -1(7 + -1x)
8x + (-12 + -3x) + 7 = -2 + 2x + -1(7 + -1x)

Reorder the terms:
-12 + 7 + 8x + -3x = -2 + 2x + -1(7 + -1x)

Combine like terms: -12 + 7 = -5
-5 + 8x + -3x = -2 + 2x + -1(7 + -1x)

Combine like terms: 8x + -3x = 5x
-5 + 5x = -2 + 2x + -1(7 + -1x)
-5 + 5x = -2 + 2x + (7 * -1 + -1x * -1)
-5 + 5x = -2 + 2x + (-7 + 1x)

Reorder the terms:
-5 + 5x = -2 + -7 + 2x + 1x

Combine like terms: -2 + -7 = -9
-5 + 5x = -9 + 2x + 1x

Combine like terms: 2x + 1x = 3x
-5 + 5x = -9 + 3x

Solving
-5 + 5x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 5x + -3x = -9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 2x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 2x = -9 + 0
-5 + 2x = -9

Add '5' to each side of the equation.
-5 + 5 + 2x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -9 + 5
2x = -9 + 5

Combine like terms: -9 + 5 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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