5x+32=13x-64

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Solution for 5x+32=13x-64 equation:


Simplifying
5x + 32 = 13x + -64

Reorder the terms:
32 + 5x = 13x + -64

Reorder the terms:
32 + 5x = -64 + 13x

Solving
32 + 5x = -64 + 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 + 5x + -13x = -64 + 13x + -13x

Combine like terms: 5x + -13x = -8x
32 + -8x = -64 + 13x + -13x

Combine like terms: 13x + -13x = 0
32 + -8x = -64 + 0
32 + -8x = -64

Add '-32' to each side of the equation.
32 + -32 + -8x = -64 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -64 + -32
-8x = -64 + -32

Combine like terms: -64 + -32 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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