10x+8=x-10

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Solution for 10x+8=x-10 equation:


Simplifying
10x + 8 = x + -10

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

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

Solving
8 + 10x = -10 + 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.
8 + 10x + -1x = -10 + x + -1x

Combine like terms: 10x + -1x = 9x
8 + 9x = -10 + x + -1x

Combine like terms: x + -1x = 0
8 + 9x = -10 + 0
8 + 9x = -10

Add '-8' to each side of the equation.
8 + -8 + 9x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = -10 + -8
9x = -10 + -8

Combine like terms: -10 + -8 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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