10x-5=9x+12

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Solution for 10x-5=9x+12 equation:


Simplifying
10x + -5 = 9x + 12

Reorder the terms:
-5 + 10x = 9x + 12

Reorder the terms:
-5 + 10x = 12 + 9x

Solving
-5 + 10x = 12 + 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.
-5 + 10x + -9x = 12 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-5 + 1x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + 1x = 12 + 0
-5 + 1x = 12

Add '5' to each side of the equation.
-5 + 5 + 1x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 12 + 5
1x = 12 + 5

Combine like terms: 12 + 5 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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