3x+32=13x-58

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Solution for 3x+32=13x-58 equation:


Simplifying
3x + 32 = 13x + -58

Reorder the terms:
32 + 3x = 13x + -58

Reorder the terms:
32 + 3x = -58 + 13x

Solving
32 + 3x = -58 + 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.
32 + 3x + -13x = -58 + 13x + -13x

Combine like terms: 3x + -13x = -10x
32 + -10x = -58 + 13x + -13x

Combine like terms: 13x + -13x = 0
32 + -10x = -58 + 0
32 + -10x = -58

Add '-32' to each side of the equation.
32 + -32 + -10x = -58 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = -58 + -32
-10x = -58 + -32

Combine like terms: -58 + -32 = -90
-10x = -90

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

Simplifying
x = 9

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