-x+2=4(x-2)

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Solution for -x+2=4(x-2) equation:


Simplifying
-1x + 2 = 4(x + -2)

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

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

Solving
2 + -1x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + -1x + -4x = -8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
2 + -5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -5x = -8 + 0
2 + -5x = -8

Add '-2' to each side of the equation.
2 + -2 + -5x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -8 + -2
-5x = -8 + -2

Combine like terms: -8 + -2 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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