3x-32=2(40-x)

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Solution for 3x-32=2(40-x) equation:


Simplifying
3x + -32 = 2(40 + -1x)

Reorder the terms:
-32 + 3x = 2(40 + -1x)
-32 + 3x = (40 * 2 + -1x * 2)
-32 + 3x = (80 + -2x)

Solving
-32 + 3x = 80 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-32 + 3x + 2x = 80 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-32 + 5x = 80 + -2x + 2x

Combine like terms: -2x + 2x = 0
-32 + 5x = 80 + 0
-32 + 5x = 80

Add '32' to each side of the equation.
-32 + 32 + 5x = 80 + 32

Combine like terms: -32 + 32 = 0
0 + 5x = 80 + 32
5x = 80 + 32

Combine like terms: 80 + 32 = 112
5x = 112

Divide each side by '5'.
x = 22.4

Simplifying
x = 22.4

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