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

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


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

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

Reorder the terms:
1 + -8 + 10x + 8x = x + -8

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

Combine like terms: 10x + 8x = 18x
-7 + 18x = x + -8

Reorder the terms:
-7 + 18x = -8 + x

Solving
-7 + 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.
-7 + 18x + -1x = -8 + x + -1x

Combine like terms: 18x + -1x = 17x
-7 + 17x = -8 + x + -1x

Combine like terms: x + -1x = 0
-7 + 17x = -8 + 0
-7 + 17x = -8

Add '7' to each side of the equation.
-7 + 7 + 17x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + 17x = -8 + 7
17x = -8 + 7

Combine like terms: -8 + 7 = -1
17x = -1

Divide each side by '17'.
x = -0.05882352941

Simplifying
x = -0.05882352941

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