3x+29=5x-13

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Solution for 3x+29=5x-13 equation:


Simplifying
3x + 29 = 5x + -13

Reorder the terms:
29 + 3x = 5x + -13

Reorder the terms:
29 + 3x = -13 + 5x

Solving
29 + 3x = -13 + 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 + 3x + -5x = -13 + 5x + -5x

Combine like terms: 3x + -5x = -2x
29 + -2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
29 + -2x = -13 + 0
29 + -2x = -13

Add '-29' to each side of the equation.
29 + -29 + -2x = -13 + -29

Combine like terms: 29 + -29 = 0
0 + -2x = -13 + -29
-2x = -13 + -29

Combine like terms: -13 + -29 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

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