x+4=4(2x-4)

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


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

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

Reorder the terms:
4 + x = 4(-4 + 2x)
4 + x = (-4 * 4 + 2x * 4)
4 + x = (-16 + 8x)

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

Combine like terms: x + -8x = -7x
4 + -7x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -7x = -16 + 0
4 + -7x = -16

Add '-4' to each side of the equation.
4 + -4 + -7x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -16 + -4
-7x = -16 + -4

Combine like terms: -16 + -4 = -20
-7x = -20

Divide each side by '-7'.
x = 2.857142857

Simplifying
x = 2.857142857

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