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

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


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

Remove parenthesis around (-1x)
x + -2 * -1x + 8 = 2(-1x) + 3x

Multiply -2 * -1
x + 2x + 8 = 2(-1x) + 3x

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

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

Remove parenthesis around (-1x)
8 + 3x = 2 * -1x + 3x

Multiply 2 * -1
8 + 3x = -2x + 3x

Combine like terms: -2x + 3x = 1x
8 + 3x = 1x

Solving
8 + 3x = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 3x + -1x = 1x + -1x

Combine like terms: 3x + -1x = 2x
8 + 2x = 1x + -1x

Combine like terms: 1x + -1x = 0
8 + 2x = 0

Add '-8' to each side of the equation.
8 + -8 + 2x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 0 + -8
2x = 0 + -8

Combine like terms: 0 + -8 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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