8(x+1)-(x-7)-5(x+1)=0

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Solution for 8(x+1)-(x-7)-5(x+1)=0 equation:


Simplifying
8(x + 1) + -1(x + -7) + -5(x + 1) = 0

Reorder the terms:
8(1 + x) + -1(x + -7) + -5(x + 1) = 0
(1 * 8 + x * 8) + -1(x + -7) + -5(x + 1) = 0
(8 + 8x) + -1(x + -7) + -5(x + 1) = 0

Reorder the terms:
8 + 8x + -1(-7 + x) + -5(x + 1) = 0
8 + 8x + (-7 * -1 + x * -1) + -5(x + 1) = 0
8 + 8x + (7 + -1x) + -5(x + 1) = 0

Reorder the terms:
8 + 8x + 7 + -1x + -5(1 + x) = 0
8 + 8x + 7 + -1x + (1 * -5 + x * -5) = 0
8 + 8x + 7 + -1x + (-5 + -5x) = 0

Reorder the terms:
8 + 7 + -5 + 8x + -1x + -5x = 0

Combine like terms: 8 + 7 = 15
15 + -5 + 8x + -1x + -5x = 0

Combine like terms: 15 + -5 = 10
10 + 8x + -1x + -5x = 0

Combine like terms: 8x + -1x = 7x
10 + 7x + -5x = 0

Combine like terms: 7x + -5x = 2x
10 + 2x = 0

Solving
10 + 2x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10

Combine like terms: 0 + -10 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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