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 = 32
32 + -57x = 32 + -3x

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

Combine like terms: 32 + -32 = 0
0 + -57x = 32 + -32 + -3x
-57x = 32 + -32 + -3x

Combine like terms: 32 + -32 = 0
-57x = 0 + -3x
-57x = -3x

Solving
-57x = -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.
-57x + 3x = -3x + 3x

Combine like terms: -57x + 3x = -54x
-54x = -3x + 3x

Combine like terms: -3x + 3x = 0
-54x = 0

Divide each side by '-54'.
x = 0

Simplifying
x = 0

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