3(4x+2)+6=5(2x-4)

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Solution for 3(4x+2)+6=5(2x-4) equation:


Simplifying
3(4x + 2) + 6 = 5(2x + -4)

Reorder the terms:
3(2 + 4x) + 6 = 5(2x + -4)
(2 * 3 + 4x * 3) + 6 = 5(2x + -4)
(6 + 12x) + 6 = 5(2x + -4)

Reorder the terms:
6 + 6 + 12x = 5(2x + -4)

Combine like terms: 6 + 6 = 12
12 + 12x = 5(2x + -4)

Reorder the terms:
12 + 12x = 5(-4 + 2x)
12 + 12x = (-4 * 5 + 2x * 5)
12 + 12x = (-20 + 10x)

Solving
12 + 12x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 12x + -10x = -20 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
12 + 2x = -20 + 0
12 + 2x = -20

Add '-12' to each side of the equation.
12 + -12 + 2x = -20 + -12

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

Combine like terms: -20 + -12 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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