9x+8=10x-5

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Solution for 9x+8=10x-5 equation:


Simplifying
9x + 8 = 10x + -5

Reorder the terms:
8 + 9x = 10x + -5

Reorder the terms:
8 + 9x = -5 + 10x

Solving
8 + 9x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 9x + -10x = -5 + 10x + -10x

Combine like terms: 9x + -10x = -1x
8 + -1x = -5 + 10x + -10x

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

Add '-8' to each side of the equation.
8 + -8 + -1x = -5 + -8

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

Combine like terms: -5 + -8 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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