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

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


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

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

Reorder the terms:
12 + 3x = 2x + 2(-4 + 3x)
12 + 3x = 2x + (-4 * 2 + 3x * 2)
12 + 3x = 2x + (-8 + 6x)

Reorder the terms:
12 + 3x = -8 + 2x + 6x

Combine like terms: 2x + 6x = 8x
12 + 3x = -8 + 8x

Solving
12 + 3x = -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 + 3x + -8x = -8 + 8x + -8x

Combine like terms: 3x + -8x = -5x
12 + -5x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -5x = -8 + 0
12 + -5x = -8

Add '-12' to each side of the equation.
12 + -12 + -5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -8 + -12
-5x = -8 + -12

Combine like terms: -8 + -12 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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