3(x-3)-12=2(x-6)+10

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Solution for 3(x-3)-12=2(x-6)+10 equation: 


Simplifying
3(x + -3) + -12 = 2(x + -6) + 10

Reorder the terms:
3(-3 + x) + -12 = 2(x + -6) + 10
(-3 * 3 + x * 3) + -12 = 2(x + -6) + 10
(-9 + 3x) + -12 = 2(x + -6) + 10

Reorder the terms:
-9 + -12 + 3x = 2(x + -6) + 10

Combine like terms: -9 + -12 = -21
-21 + 3x = 2(x + -6) + 10

Reorder the terms:
-21 + 3x = 2(-6 + x) + 10
-21 + 3x = (-6 * 2 + x * 2) + 10
-21 + 3x = (-12 + 2x) + 10

Reorder the terms:
-21 + 3x = -12 + 10 + 2x

Combine like terms: -12 + 10 = -2
-21 + 3x = -2 + 2x

Solving
-21 + 3x = -2 + 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.
-21 + 3x + -2x = -2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-21 + 1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 1x = -2 + 0
-21 + 1x = -2

Add '21' to each side of the equation.
-21 + 21 + 1x = -2 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -2 + 21
1x = -2 + 21

Combine like terms: -2 + 21 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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