5x+32=8x-13

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Solution for 5x+32=8x-13 equation: 


Simplifying
5x + 32 = 8x + -13

Reorder the terms:
32 + 5x = 8x + -13

Reorder the terms:
32 + 5x = -13 + 8x

Solving
32 + 5x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
32 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
32 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -3x = -13 + 0
32 + -3x = -13

Add '-32' to each side of the equation.
32 + -32 + -3x = -13 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = -13 + -32
-3x = -13 + -32

Combine like terms: -13 + -32 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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