32-57x=17+3(x-5)

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Solution for 32-57x=17+3(x-5) equation: 


Simplifying
32 + -57x = 17 + 3(x + -5)

Reorder the terms:
32 + -57x = 17 + 3(-5 + x)
32 + -57x = 17 + (-5 * 3 + x * 3)
32 + -57x = 17 + (-15 + 3x)

Combine like terms: 17 + -15 = 2
32 + -57x = 2 + 3x

Solving
32 + -57x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
32 + -57x + -3x = 2 + 3x + -3x

Combine like terms: -57x + -3x = -60x
32 + -60x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + -60x = 2 + 0
32 + -60x = 2

Add '-32' to each side of the equation.
32 + -32 + -60x = 2 + -32

Combine like terms: 32 + -32 = 0
0 + -60x = 2 + -32
-60x = 2 + -32

Combine like terms: 2 + -32 = -30
-60x = -30

Divide each side by '-60'.
x = 0.5

Simplifying
x = 0.5

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