3(x-5)-12=2(X-6)+2

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Solution for 3(x-5)-12=2(X-6)+2 equation: 


Simplifying
3(x + -5) + -12 = 2(X + -6) + 2

Reorder the terms:
3(-5 + x) + -12 = 2(X + -6) + 2
(-5 * 3 + x * 3) + -12 = 2(X + -6) + 2
(-15 + 3x) + -12 = 2(X + -6) + 2

Reorder the terms:
-15 + -12 + 3x = 2(X + -6) + 2

Combine like terms: -15 + -12 = -27
-27 + 3x = 2(X + -6) + 2

Reorder the terms:
-27 + 3x = 2(-6 + X) + 2
-27 + 3x = (-6 * 2 + X * 2) + 2
-27 + 3x = (-12 + 2X) + 2

Reorder the terms:
-27 + 3x = -12 + 2 + 2X

Combine like terms: -12 + 2 = -10
-27 + 3x = -10 + 2X

Solving
-27 + 3x = -10 + 2X

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 3x = -10 + 27 + 2X

Combine like terms: -27 + 27 = 0
0 + 3x = -10 + 27 + 2X
3x = -10 + 27 + 2X

Combine like terms: -10 + 27 = 17
3x = 17 + 2X

Divide each side by '3'.
x = 5.666666667 + 0.6666666667X

Simplifying
x = 5.666666667 + 0.6666666667X

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