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

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


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

Reorder the terms:
2 + -5(-4 + x) = 2(-2x + 4) + -2x
2 + (-4 * -5 + x * -5) = 2(-2x + 4) + -2x
2 + (20 + -5x) = 2(-2x + 4) + -2x

Combine like terms: 2 + 20 = 22
22 + -5x = 2(-2x + 4) + -2x

Reorder the terms:
22 + -5x = 2(4 + -2x) + -2x
22 + -5x = (4 * 2 + -2x * 2) + -2x
22 + -5x = (8 + -4x) + -2x

Combine like terms: -4x + -2x = -6x
22 + -5x = 8 + -6x

Solving
22 + -5x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
22 + -5x + 6x = 8 + -6x + 6x

Combine like terms: -5x + 6x = 1x
22 + 1x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
22 + 1x = 8 + 0
22 + 1x = 8

Add '-22' to each side of the equation.
22 + -22 + 1x = 8 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = 8 + -22
1x = 8 + -22

Combine like terms: 8 + -22 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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