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

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Solution for -4(x+4)=-2(5x-1)+2x equation:


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

Reorder the terms:
-4(4 + x) = -2(5x + -1) + 2x
(4 * -4 + x * -4) = -2(5x + -1) + 2x
(-16 + -4x) = -2(5x + -1) + 2x

Reorder the terms:
-16 + -4x = -2(-1 + 5x) + 2x
-16 + -4x = (-1 * -2 + 5x * -2) + 2x
-16 + -4x = (2 + -10x) + 2x

Combine like terms: -10x + 2x = -8x
-16 + -4x = 2 + -8x

Solving
-16 + -4x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-16 + -4x + 8x = 2 + -8x + 8x

Combine like terms: -4x + 8x = 4x
-16 + 4x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-16 + 4x = 2 + 0
-16 + 4x = 2

Add '16' to each side of the equation.
-16 + 16 + 4x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 2 + 16
4x = 2 + 16

Combine like terms: 2 + 16 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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