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

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


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

Reorder the terms:
8(6 + x) + 2(x + 6) = 7x + -7
(6 * 8 + x * 8) + 2(x + 6) = 7x + -7
(48 + 8x) + 2(x + 6) = 7x + -7

Reorder the terms:
48 + 8x + 2(6 + x) = 7x + -7
48 + 8x + (6 * 2 + x * 2) = 7x + -7
48 + 8x + (12 + 2x) = 7x + -7

Reorder the terms:
48 + 12 + 8x + 2x = 7x + -7

Combine like terms: 48 + 12 = 60
60 + 8x + 2x = 7x + -7

Combine like terms: 8x + 2x = 10x
60 + 10x = 7x + -7

Reorder the terms:
60 + 10x = -7 + 7x

Solving
60 + 10x = -7 + 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.
60 + 10x + -7x = -7 + 7x + -7x

Combine like terms: 10x + -7x = 3x
60 + 3x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
60 + 3x = -7 + 0
60 + 3x = -7

Add '-60' to each side of the equation.
60 + -60 + 3x = -7 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = -7 + -60
3x = -7 + -60

Combine like terms: -7 + -60 = -67
3x = -67

Divide each side by '3'.
x = -22.33333333

Simplifying
x = -22.33333333

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