10x-29=8x+16

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Solution for 10x-29=8x+16 equation:


Simplifying
10x + -29 = 8x + 16

Reorder the terms:
-29 + 10x = 8x + 16

Reorder the terms:
-29 + 10x = 16 + 8x

Solving
-29 + 10x = 16 + 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.
-29 + 10x + -8x = 16 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-29 + 2x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-29 + 2x = 16 + 0
-29 + 2x = 16

Add '29' to each side of the equation.
-29 + 29 + 2x = 16 + 29

Combine like terms: -29 + 29 = 0
0 + 2x = 16 + 29
2x = 16 + 29

Combine like terms: 16 + 29 = 45
2x = 45

Divide each side by '2'.
x = 22.5

Simplifying
x = 22.5

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