8(x+5)+2(x+5)=7x-7

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Solution for 8(x+5)+2(x+5)=7x-7 equation: 


Simplifying
8(x + 5) + 2(x + 5) = 7x + -7

Reorder the terms:
8(5 + x) + 2(x + 5) = 7x + -7
(5 * 8 + x * 8) + 2(x + 5) = 7x + -7
(40 + 8x) + 2(x + 5) = 7x + -7

Reorder the terms:
40 + 8x + 2(5 + x) = 7x + -7
40 + 8x + (5 * 2 + x * 2) = 7x + -7
40 + 8x + (10 + 2x) = 7x + -7

Reorder the terms:
40 + 10 + 8x + 2x = 7x + -7

Combine like terms: 40 + 10 = 50
50 + 8x + 2x = 7x + -7

Combine like terms: 8x + 2x = 10x
50 + 10x = 7x + -7

Reorder the terms:
50 + 10x = -7 + 7x

Solving
50 + 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.
50 + 10x + -7x = -7 + 7x + -7x

Combine like terms: 10x + -7x = 3x
50 + 3x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
50 + 3x = -7 + 0
50 + 3x = -7

Add '-50' to each side of the equation.
50 + -50 + 3x = -7 + -50

Combine like terms: 50 + -50 = 0
0 + 3x = -7 + -50
3x = -7 + -50

Combine like terms: -7 + -50 = -57
3x = -57

Divide each side by '3'.
x = -19

Simplifying
x = -19

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