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

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


Simplifying
7 + -1(6x + 2) = (x + -12) + 3

Reorder the terms:
7 + -1(2 + 6x) = (x + -12) + 3
7 + (2 * -1 + 6x * -1) = (x + -12) + 3
7 + (-2 + -6x) = (x + -12) + 3

Combine like terms: 7 + -2 = 5
5 + -6x = (x + -12) + 3

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

Remove parenthesis around (-12 + x)
5 + -6x = -12 + x + 3

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

Combine like terms: -12 + 3 = -9
5 + -6x = -9 + x

Solving
5 + -6x = -9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + -6x + -1x = -9 + x + -1x

Combine like terms: -6x + -1x = -7x
5 + -7x = -9 + x + -1x

Combine like terms: x + -1x = 0
5 + -7x = -9 + 0
5 + -7x = -9

Add '-5' to each side of the equation.
5 + -5 + -7x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -9 + -5
-7x = -9 + -5

Combine like terms: -9 + -5 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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