10x-29=5x+16

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Solution for 10x-29=5x+16 equation:


Simplifying
10x + -29 = 5x + 16

Reorder the terms:
-29 + 10x = 5x + 16

Reorder the terms:
-29 + 10x = 16 + 5x

Solving
-29 + 10x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-29 + 10x + -5x = 16 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-29 + 5x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-29 + 5x = 16 + 0
-29 + 5x = 16

Add '29' to each side of the equation.
-29 + 29 + 5x = 16 + 29

Combine like terms: -29 + 29 = 0
0 + 5x = 16 + 29
5x = 16 + 29

Combine like terms: 16 + 29 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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