4x-16=-x+29

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Solution for 4x-16=-x+29 equation:


Simplifying
4x + -16 = -1x + 29

Reorder the terms:
-16 + 4x = -1x + 29

Reorder the terms:
-16 + 4x = 29 + -1x

Solving
-16 + 4x = 29 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + 4x + x = 29 + -1x + x

Combine like terms: 4x + x = 5x
-16 + 5x = 29 + -1x + x

Combine like terms: -1x + x = 0
-16 + 5x = 29 + 0
-16 + 5x = 29

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

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

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

Divide each side by '5'.
x = 9

Simplifying
x = 9

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