4x+29=13x-61

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Solution for 4x+29=13x-61 equation:


Simplifying
4x + 29 = 13x + -61

Reorder the terms:
29 + 4x = 13x + -61

Reorder the terms:
29 + 4x = -61 + 13x

Solving
29 + 4x = -61 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
29 + 4x + -13x = -61 + 13x + -13x

Combine like terms: 4x + -13x = -9x
29 + -9x = -61 + 13x + -13x

Combine like terms: 13x + -13x = 0
29 + -9x = -61 + 0
29 + -9x = -61

Add '-29' to each side of the equation.
29 + -29 + -9x = -61 + -29

Combine like terms: 29 + -29 = 0
0 + -9x = -61 + -29
-9x = -61 + -29

Combine like terms: -61 + -29 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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