3x-3-12=2(x-6)+11

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Solution for 3x-3-12=2(x-6)+11 equation:


Simplifying
3x + -3 + -12 = 2(x + -6) + 11

Reorder the terms:
-3 + -12 + 3x = 2(x + -6) + 11

Combine like terms: -3 + -12 = -15
-15 + 3x = 2(x + -6) + 11

Reorder the terms:
-15 + 3x = 2(-6 + x) + 11
-15 + 3x = (-6 * 2 + x * 2) + 11
-15 + 3x = (-12 + 2x) + 11

Reorder the terms:
-15 + 3x = -12 + 11 + 2x

Combine like terms: -12 + 11 = -1
-15 + 3x = -1 + 2x

Solving
-15 + 3x = -1 + 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.
-15 + 3x + -2x = -1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = -1 + 0
-15 + 1x = -1

Add '15' to each side of the equation.
-15 + 15 + 1x = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -1 + 15
1x = -1 + 15

Combine like terms: -1 + 15 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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