6+2(3x-7)=-20+12x+6

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Solution for 6+2(3x-7)=-20+12x+6 equation:


Simplifying
6 + 2(3x + -7) = -20 + 12x + 6

Reorder the terms:
6 + 2(-7 + 3x) = -20 + 12x + 6
6 + (-7 * 2 + 3x * 2) = -20 + 12x + 6
6 + (-14 + 6x) = -20 + 12x + 6

Combine like terms: 6 + -14 = -8
-8 + 6x = -20 + 12x + 6

Reorder the terms:
-8 + 6x = -20 + 6 + 12x

Combine like terms: -20 + 6 = -14
-8 + 6x = -14 + 12x

Solving
-8 + 6x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 6x + -12x = -14 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-8 + -6x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -6x = -14 + 0
-8 + -6x = -14

Add '8' to each side of the equation.
-8 + 8 + -6x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = -14 + 8
-6x = -14 + 8

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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