3(x-6)+12=2(x-7)

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Solution for 3(x-6)+12=2(x-7) equation:


Simplifying
3(x + -6) + 12 = 2(x + -7)

Reorder the terms:
3(-6 + x) + 12 = 2(x + -7)
(-6 * 3 + x * 3) + 12 = 2(x + -7)
(-18 + 3x) + 12 = 2(x + -7)

Reorder the terms:
-18 + 12 + 3x = 2(x + -7)

Combine like terms: -18 + 12 = -6
-6 + 3x = 2(x + -7)

Reorder the terms:
-6 + 3x = 2(-7 + x)
-6 + 3x = (-7 * 2 + x * 2)
-6 + 3x = (-14 + 2x)

Solving
-6 + 3x = -14 + 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.
-6 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 1x = -14 + 0
-6 + 1x = -14

Add '6' to each side of the equation.
-6 + 6 + 1x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -14 + 6
1x = -14 + 6

Combine like terms: -14 + 6 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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