-3(x+6)+6=7(x+2)+8

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Solution for -3(x+6)+6=7(x+2)+8 equation: 


Simplifying
-3(x + 6) + 6 = 7(x + 2) + 8

Reorder the terms:
-3(6 + x) + 6 = 7(x + 2) + 8
(6 * -3 + x * -3) + 6 = 7(x + 2) + 8
(-18 + -3x) + 6 = 7(x + 2) + 8

Reorder the terms:
-18 + 6 + -3x = 7(x + 2) + 8

Combine like terms: -18 + 6 = -12
-12 + -3x = 7(x + 2) + 8

Reorder the terms:
-12 + -3x = 7(2 + x) + 8
-12 + -3x = (2 * 7 + x * 7) + 8
-12 + -3x = (14 + 7x) + 8

Reorder the terms:
-12 + -3x = 14 + 8 + 7x

Combine like terms: 14 + 8 = 22
-12 + -3x = 22 + 7x

Solving
-12 + -3x = 22 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + -3x + -7x = 22 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-12 + -10x = 22 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -10x = 22 + 0
-12 + -10x = 22

Add '12' to each side of the equation.
-12 + 12 + -10x = 22 + 12

Combine like terms: -12 + 12 = 0
0 + -10x = 22 + 12
-10x = 22 + 12

Combine like terms: 22 + 12 = 34
-10x = 34

Divide each side by '-10'.
x = -3.4

Simplifying
x = -3.4

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