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

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


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

Reorder the terms:
2(-4 + 3x) + -12 = 5(x + -3)
(-4 * 2 + 3x * 2) + -12 = 5(x + -3)
(-8 + 6x) + -12 = 5(x + -3)

Reorder the terms:
-8 + -12 + 6x = 5(x + -3)

Combine like terms: -8 + -12 = -20
-20 + 6x = 5(x + -3)

Reorder the terms:
-20 + 6x = 5(-3 + x)
-20 + 6x = (-3 * 5 + x * 5)
-20 + 6x = (-15 + 5x)

Solving
-20 + 6x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-20 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-20 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + 1x = -15 + 0
-20 + 1x = -15

Add '20' to each side of the equation.
-20 + 20 + 1x = -15 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -15 + 20
1x = -15 + 20

Combine like terms: -15 + 20 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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