8x-5=10x+9

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


Simplifying
8x + -5 = 10x + 9

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

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

Solving
-5 + 8x = 9 + 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.
-5 + 8x + -10x = 9 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-5 + -2x = 9 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -2x = 9 + 0
-5 + -2x = 9

Add '5' to each side of the equation.
-5 + 5 + -2x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 9 + 5
-2x = 9 + 5

Combine like terms: 9 + 5 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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