10x-8=9x+2

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Solution for 10x-8=9x+2 equation:


Simplifying
10x + -8 = 9x + 2

Reorder the terms:
-8 + 10x = 9x + 2

Reorder the terms:
-8 + 10x = 2 + 9x

Solving
-8 + 10x = 2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 10x + -9x = 2 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-8 + 1x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 1x = 2 + 0
-8 + 1x = 2

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

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

Combine like terms: 2 + 8 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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