x+32=5x-20

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Solution for x+32=5x-20 equation:


Simplifying
x + 32 = 5x + -20

Reorder the terms:
32 + x = 5x + -20

Reorder the terms:
32 + x = -20 + 5x

Solving
32 + x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
32 + x + -5x = -20 + 5x + -5x

Combine like terms: x + -5x = -4x
32 + -4x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -4x = -20 + 0
32 + -4x = -20

Add '-32' to each side of the equation.
32 + -32 + -4x = -20 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -20 + -32
-4x = -20 + -32

Combine like terms: -20 + -32 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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