4x-13=5x+16

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Solution for 4x-13=5x+16 equation:


Simplifying
4x + -13 = 5x + 16

Reorder the terms:
-13 + 4x = 5x + 16

Reorder the terms:
-13 + 4x = 16 + 5x

Solving
-13 + 4x = 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.
-13 + 4x + -5x = 16 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-13 + -1x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -1x = 16 + 0
-13 + -1x = 16

Add '13' to each side of the equation.
-13 + 13 + -1x = 16 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 16 + 13
-1x = 16 + 13

Combine like terms: 16 + 13 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29

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