3(4x+2)-2(5x-3)=12

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Solution for 3(4x+2)-2(5x-3)=12 equation: 


Simplifying
3(4x + 2) + -2(5x + -3) = 12

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

Reorder the terms:
6 + 12x + -2(-3 + 5x) = 12
6 + 12x + (-3 * -2 + 5x * -2) = 12
6 + 12x + (6 + -10x) = 12

Reorder the terms:
6 + 6 + 12x + -10x = 12

Combine like terms: 6 + 6 = 12
12 + 12x + -10x = 12

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

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

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

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

Solving
2x = 0

Solving for variable 'x'.

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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