5x+29=7x-13

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Solution for 5x+29=7x-13 equation:


Simplifying
5x + 29 = 7x + -13

Reorder the terms:
29 + 5x = 7x + -13

Reorder the terms:
29 + 5x = -13 + 7x

Solving
29 + 5x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
29 + 5x + -7x = -13 + 7x + -7x

Combine like terms: 5x + -7x = -2x
29 + -2x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 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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