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

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


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

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

Combine like terms: -5 + -12 = -17
-17 + 3x = 2(x + -6) + 2

Reorder the terms:
-17 + 3x = 2(-6 + x) + 2
-17 + 3x = (-6 * 2 + x * 2) + 2
-17 + 3x = (-12 + 2x) + 2

Reorder the terms:
-17 + 3x = -12 + 2 + 2x

Combine like terms: -12 + 2 = -10
-17 + 3x = -10 + 2x

Solving
-17 + 3x = -10 + 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.
-17 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-17 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 1x = -10 + 0
-17 + 1x = -10

Add '17' to each side of the equation.
-17 + 17 + 1x = -10 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -10 + 17
1x = -10 + 17

Combine like terms: -10 + 17 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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