10x-14=8x+9

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Solution for 10x-14=8x+9 equation:


Simplifying
10x + -14 = 8x + 9

Reorder the terms:
-14 + 10x = 8x + 9

Reorder the terms:
-14 + 10x = 9 + 8x

Solving
-14 + 10x = 9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 10x + -8x = 9 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-14 + 2x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + 2x = 9 + 0
-14 + 2x = 9

Add '14' to each side of the equation.
-14 + 14 + 2x = 9 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 9 + 14
2x = 9 + 14

Combine like terms: 9 + 14 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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