4(2x+6)=8(2x-2)

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Solution for 4(2x+6)=8(2x-2) equation:


Simplifying
4(2x + 6) = 8(2x + -2)

Reorder the terms:
4(6 + 2x) = 8(2x + -2)
(6 * 4 + 2x * 4) = 8(2x + -2)
(24 + 8x) = 8(2x + -2)

Reorder the terms:
24 + 8x = 8(-2 + 2x)
24 + 8x = (-2 * 8 + 2x * 8)
24 + 8x = (-16 + 16x)

Solving
24 + 8x = -16 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
24 + 8x + -16x = -16 + 16x + -16x

Combine like terms: 8x + -16x = -8x
24 + -8x = -16 + 16x + -16x

Combine like terms: 16x + -16x = 0
24 + -8x = -16 + 0
24 + -8x = -16

Add '-24' to each side of the equation.
24 + -24 + -8x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = -16 + -24
-8x = -16 + -24

Combine like terms: -16 + -24 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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