3x-12=5(x-4)

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


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

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

Reorder the terms:
-12 + 3x = 5(-4 + x)
-12 + 3x = (-4 * 5 + x * 5)
-12 + 3x = (-20 + 5x)

Solving
-12 + 3x = -20 + 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.
-12 + 3x + -5x = -20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-12 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 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 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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