-(x-2)+4x=2(x-5)

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Solution for -(x-2)+4x=2(x-5) equation:


Simplifying
-1(x + -2) + 4x = 2(x + -5)

Reorder the terms:
-1(-2 + x) + 4x = 2(x + -5)
(-2 * -1 + x * -1) + 4x = 2(x + -5)
(2 + -1x) + 4x = 2(x + -5)

Combine like terms: -1x + 4x = 3x
2 + 3x = 2(x + -5)

Reorder the terms:
2 + 3x = 2(-5 + x)
2 + 3x = (-5 * 2 + x * 2)
2 + 3x = (-10 + 2x)

Solving
2 + 3x = -10 + 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.
2 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = -10 + 0
2 + 1x = -10

Add '-2' to each side of the equation.
2 + -2 + 1x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -10 + -2
1x = -10 + -2

Combine like terms: -10 + -2 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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