2(x-1)+3(4x+12)=3(4x-6)

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Solution for 2(x-1)+3(4x+12)=3(4x-6) equation:


Simplifying
2(x + -1) + 3(4x + 12) = 3(4x + -6)

Reorder the terms:
2(-1 + x) + 3(4x + 12) = 3(4x + -6)
(-1 * 2 + x * 2) + 3(4x + 12) = 3(4x + -6)
(-2 + 2x) + 3(4x + 12) = 3(4x + -6)

Reorder the terms:
-2 + 2x + 3(12 + 4x) = 3(4x + -6)
-2 + 2x + (12 * 3 + 4x * 3) = 3(4x + -6)
-2 + 2x + (36 + 12x) = 3(4x + -6)

Reorder the terms:
-2 + 36 + 2x + 12x = 3(4x + -6)

Combine like terms: -2 + 36 = 34
34 + 2x + 12x = 3(4x + -6)

Combine like terms: 2x + 12x = 14x
34 + 14x = 3(4x + -6)

Reorder the terms:
34 + 14x = 3(-6 + 4x)
34 + 14x = (-6 * 3 + 4x * 3)
34 + 14x = (-18 + 12x)

Solving
34 + 14x = -18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
34 + 14x + -12x = -18 + 12x + -12x

Combine like terms: 14x + -12x = 2x
34 + 2x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
34 + 2x = -18 + 0
34 + 2x = -18

Add '-34' to each side of the equation.
34 + -34 + 2x = -18 + -34

Combine like terms: 34 + -34 = 0
0 + 2x = -18 + -34
2x = -18 + -34

Combine like terms: -18 + -34 = -52
2x = -52

Divide each side by '2'.
x = -26

Simplifying
x = -26

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