4(x-4)+64=-2x

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Solution for 4(x-4)+64=-2x equation:


Simplifying
4(x + -4) + 64 = -2x

Reorder the terms:
4(-4 + x) + 64 = -2x
(-4 * 4 + x * 4) + 64 = -2x
(-16 + 4x) + 64 = -2x

Reorder the terms:
-16 + 64 + 4x = -2x

Combine like terms: -16 + 64 = 48
48 + 4x = -2x

Solving
48 + 4x = -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.
48 + 4x + 2x = -2x + 2x

Combine like terms: 4x + 2x = 6x
48 + 6x = -2x + 2x

Combine like terms: -2x + 2x = 0
48 + 6x = 0

Add '-48' to each side of the equation.
48 + -48 + 6x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 6x = 0 + -48
6x = 0 + -48

Combine like terms: 0 + -48 = -48
6x = -48

Divide each side by '6'.
x = -8

Simplifying
x = -8

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