3(2x+4)=4(2x-2)

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Solution for 3(2x+4)=4(2x-2) equation:


Simplifying
3(2x + 4) = 4(2x + -2)

Reorder the terms:
3(4 + 2x) = 4(2x + -2)
(4 * 3 + 2x * 3) = 4(2x + -2)
(12 + 6x) = 4(2x + -2)

Reorder the terms:
12 + 6x = 4(-2 + 2x)
12 + 6x = (-2 * 4 + 2x * 4)
12 + 6x = (-8 + 8x)

Solving
12 + 6x = -8 + 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.
12 + 6x + -8x = -8 + 8x + -8x

Combine like terms: 6x + -8x = -2x
12 + -2x = -8 + 8x + -8x

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

Add '-12' to each side of the equation.
12 + -12 + -2x = -8 + -12

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

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

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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