4x+4(x-2)=-(5x-20)-x

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Solution for 4x+4(x-2)=-(5x-20)-x equation:


Simplifying
4x + 4(x + -2) = -1(5x + -20) + -1x

Reorder the terms:
4x + 4(-2 + x) = -1(5x + -20) + -1x
4x + (-2 * 4 + x * 4) = -1(5x + -20) + -1x
4x + (-8 + 4x) = -1(5x + -20) + -1x

Reorder the terms:
-8 + 4x + 4x = -1(5x + -20) + -1x

Combine like terms: 4x + 4x = 8x
-8 + 8x = -1(5x + -20) + -1x

Reorder the terms:
-8 + 8x = -1(-20 + 5x) + -1x
-8 + 8x = (-20 * -1 + 5x * -1) + -1x
-8 + 8x = (20 + -5x) + -1x

Combine like terms: -5x + -1x = -6x
-8 + 8x = 20 + -6x

Solving
-8 + 8x = 20 + -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.
-8 + 8x + 6x = 20 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-8 + 14x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 14x = 20 + 0
-8 + 14x = 20

Add '8' to each side of the equation.
-8 + 8 + 14x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 14x = 20 + 8
14x = 20 + 8

Combine like terms: 20 + 8 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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