(32-x)=(5x-15)

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Solution for (32-x)=(5x-15) equation:


Simplifying
(32 + -1x) = (5x + -15)

Remove parenthesis around (32 + -1x)
32 + -1x = (5x + -15)

Reorder the terms:
32 + -1x = (-15 + 5x)

Remove parenthesis around (-15 + 5x)
32 + -1x = -15 + 5x

Solving
32 + -1x = -15 + 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 + -1x + -5x = -15 + 5x + -5x

Combine like terms: -1x + -5x = -6x
32 + -6x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -6x = -15 + 0
32 + -6x = -15

Add '-32' to each side of the equation.
32 + -32 + -6x = -15 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -15 + -32
-6x = -15 + -32

Combine like terms: -15 + -32 = -47
-6x = -47

Divide each side by '-6'.
x = 7.833333333

Simplifying
x = 7.833333333

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