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

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


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

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

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

Combine like terms: -42 + 6 = -36
-36 + 6x = 3(x + -6)

Reorder the terms:
-36 + 6x = 3(-6 + x)
-36 + 6x = (-6 * 3 + x * 3)
-36 + 6x = (-18 + 3x)

Solving
-36 + 6x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 6x + -3x = -18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-36 + 3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 3x = -18 + 0
-36 + 3x = -18

Add '36' to each side of the equation.
-36 + 36 + 3x = -18 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = -18 + 36
3x = -18 + 36

Combine like terms: -18 + 36 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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