3(x-4)-12=2x-9

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Solution for 3(x-4)-12=2x-9 equation:


Simplifying
3(x + -4) + -12 = 2x + -9

Reorder the terms:
3(-4 + x) + -12 = 2x + -9
(-4 * 3 + x * 3) + -12 = 2x + -9
(-12 + 3x) + -12 = 2x + -9

Reorder the terms:
-12 + -12 + 3x = 2x + -9

Combine like terms: -12 + -12 = -24
-24 + 3x = 2x + -9

Reorder the terms:
-24 + 3x = -9 + 2x

Solving
-24 + 3x = -9 + 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.
-24 + 3x + -2x = -9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-24 + 1x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 1x = -9 + 0
-24 + 1x = -9

Add '24' to each side of the equation.
-24 + 24 + 1x = -9 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = -9 + 24
1x = -9 + 24

Combine like terms: -9 + 24 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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