3(x-5)-12=(x-6)+3

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Solution for 3(x-5)-12=(x-6)+3 equation:


Simplifying
3(x + -5) + -12 = (x + -6) + 3

Reorder the terms:
3(-5 + x) + -12 = (x + -6) + 3
(-5 * 3 + x * 3) + -12 = (x + -6) + 3
(-15 + 3x) + -12 = (x + -6) + 3

Reorder the terms:
-15 + -12 + 3x = (x + -6) + 3

Combine like terms: -15 + -12 = -27
-27 + 3x = (x + -6) + 3

Reorder the terms:
-27 + 3x = (-6 + x) + 3

Remove parenthesis around (-6 + x)
-27 + 3x = -6 + x + 3

Reorder the terms:
-27 + 3x = -6 + 3 + x

Combine like terms: -6 + 3 = -3
-27 + 3x = -3 + x

Solving
-27 + 3x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-27 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
-27 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
-27 + 2x = -3 + 0
-27 + 2x = -3

Add '27' to each side of the equation.
-27 + 27 + 2x = -3 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = -3 + 27
2x = -3 + 27

Combine like terms: -3 + 27 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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