3(4x+2)-4=2x+32

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Solution for 3(4x+2)-4=2x+32 equation:


Simplifying
3(4x + 2) + -4 = 2x + 32

Reorder the terms:
3(2 + 4x) + -4 = 2x + 32
(2 * 3 + 4x * 3) + -4 = 2x + 32
(6 + 12x) + -4 = 2x + 32

Reorder the terms:
6 + -4 + 12x = 2x + 32

Combine like terms: 6 + -4 = 2
2 + 12x = 2x + 32

Reorder the terms:
2 + 12x = 32 + 2x

Solving
2 + 12x = 32 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 12x + -2x = 32 + 2x + -2x

Combine like terms: 12x + -2x = 10x
2 + 10x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 10x = 32 + 0
2 + 10x = 32

Add '-2' to each side of the equation.
2 + -2 + 10x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 32 + -2
10x = 32 + -2

Combine like terms: 32 + -2 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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