5(2x-8)=2(6x+12)

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Solution for 5(2x-8)=2(6x+12) equation:


Simplifying
5(2x + -8) = 2(6x + 12)

Reorder the terms:
5(-8 + 2x) = 2(6x + 12)
(-8 * 5 + 2x * 5) = 2(6x + 12)
(-40 + 10x) = 2(6x + 12)

Reorder the terms:
-40 + 10x = 2(12 + 6x)
-40 + 10x = (12 * 2 + 6x * 2)
-40 + 10x = (24 + 12x)

Solving
-40 + 10x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-40 + 10x + -12x = 24 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-40 + -2x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-40 + -2x = 24 + 0
-40 + -2x = 24

Add '40' to each side of the equation.
-40 + 40 + -2x = 24 + 40

Combine like terms: -40 + 40 = 0
0 + -2x = 24 + 40
-2x = 24 + 40

Combine like terms: 24 + 40 = 64
-2x = 64

Divide each side by '-2'.
x = -32

Simplifying
x = -32

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