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

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


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

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

Combine like terms: 8x + -2x = 6x
4 + 6x = 2(x + -4)

Reorder the terms:
4 + 6x = 2(-4 + x)
4 + 6x = (-4 * 2 + x * 2)
4 + 6x = (-8 + 2x)

Solving
4 + 6x = -8 + 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.
4 + 6x + -2x = -8 + 2x + -2x

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

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

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

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

Combine like terms: -8 + -4 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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