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

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


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

Reorder the terms:
6(-7 + 2x) + -6 = 6(x + -3) + 12
(-7 * 6 + 2x * 6) + -6 = 6(x + -3) + 12
(-42 + 12x) + -6 = 6(x + -3) + 12

Reorder the terms:
-42 + -6 + 12x = 6(x + -3) + 12

Combine like terms: -42 + -6 = -48
-48 + 12x = 6(x + -3) + 12

Reorder the terms:
-48 + 12x = 6(-3 + x) + 12
-48 + 12x = (-3 * 6 + x * 6) + 12
-48 + 12x = (-18 + 6x) + 12

Reorder the terms:
-48 + 12x = -18 + 12 + 6x

Combine like terms: -18 + 12 = -6
-48 + 12x = -6 + 6x

Solving
-48 + 12x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-48 + 12x + -6x = -6 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-48 + 6x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-48 + 6x = -6 + 0
-48 + 6x = -6

Add '48' to each side of the equation.
-48 + 48 + 6x = -6 + 48

Combine like terms: -48 + 48 = 0
0 + 6x = -6 + 48
6x = -6 + 48

Combine like terms: -6 + 48 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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