-5(x-4)=32-3x

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Solution for -5(x-4)=32-3x equation:


Simplifying
-5(x + -4) = 32 + -3x

Reorder the terms:
-5(-4 + x) = 32 + -3x
(-4 * -5 + x * -5) = 32 + -3x
(20 + -5x) = 32 + -3x

Solving
20 + -5x = 32 + -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.
20 + -5x + 3x = 32 + -3x + 3x

Combine like terms: -5x + 3x = -2x
20 + -2x = 32 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -2x = 32 + 0
20 + -2x = 32

Add '-20' to each side of the equation.
20 + -20 + -2x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 32 + -20
-2x = 32 + -20

Combine like terms: 32 + -20 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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