10(x+1)+8(x-1)=x-8

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Solution for 10(x+1)+8(x-1)=x-8 equation: 


Simplifying
10(x + 1) + 8(x + -1) = x + -8

Reorder the terms:
10(1 + x) + 8(x + -1) = x + -8
(1 * 10 + x * 10) + 8(x + -1) = x + -8
(10 + 10x) + 8(x + -1) = x + -8

Reorder the terms:
10 + 10x + 8(-1 + x) = x + -8
10 + 10x + (-1 * 8 + x * 8) = x + -8
10 + 10x + (-8 + 8x) = x + -8

Reorder the terms:
10 + -8 + 10x + 8x = x + -8

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

Combine like terms: 10x + 8x = 18x
2 + 18x = x + -8

Reorder the terms:
2 + 18x = -8 + x

Solving
2 + 18x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 18x + -1x = -8 + x + -1x

Combine like terms: 18x + -1x = 17x
2 + 17x = -8 + x + -1x

Combine like terms: x + -1x = 0
2 + 17x = -8 + 0
2 + 17x = -8

Add '-2' to each side of the equation.
2 + -2 + 17x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 17x = -8 + -2
17x = -8 + -2

Combine like terms: -8 + -2 = -10
17x = -10

Divide each side by '17'.
x = -0.5882352941

Simplifying
x = -0.5882352941

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