5(2x+4)=2(x-6)

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Solution for 5(2x+4)=2(x-6) equation:


Simplifying
5(2x + 4) = 2(x + -6)

Reorder the terms:
5(4 + 2x) = 2(x + -6)
(4 * 5 + 2x * 5) = 2(x + -6)
(20 + 10x) = 2(x + -6)

Reorder the terms:
20 + 10x = 2(-6 + x)
20 + 10x = (-6 * 2 + x * 2)
20 + 10x = (-12 + 2x)

Solving
20 + 10x = -12 + 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.
20 + 10x + -2x = -12 + 2x + -2x

Combine like terms: 10x + -2x = 8x
20 + 8x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 8x = -12 + 0
20 + 8x = -12

Add '-20' to each side of the equation.
20 + -20 + 8x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = -12 + -20
8x = -12 + -20

Combine like terms: -12 + -20 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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