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

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


Simplifying
x + 3 = 8 + -2(-1x + 2)

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

Reorder the terms:
3 + x = 8 + -2(2 + -1x)
3 + x = 8 + (2 * -2 + -1x * -2)
3 + x = 8 + (-4 + 2x)

Combine like terms: 8 + -4 = 4
3 + x = 4 + 2x

Solving
3 + x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + x + -2x = 4 + 2x + -2x

Combine like terms: x + -2x = -1x
3 + -1x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = 4 + 0
3 + -1x = 4

Add '-3' to each side of the equation.
3 + -3 + -1x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 4 + -3
-1x = 4 + -3

Combine like terms: 4 + -3 = 1
-1x = 1

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

Simplifying
x = -1

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