-5(x-4)+2=3(2-x)

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Solution for -5(x-4)+2=3(2-x) equation:


Simplifying
-5(x + -4) + 2 = 3(2 + -1x)

Reorder the terms:
-5(-4 + x) + 2 = 3(2 + -1x)
(-4 * -5 + x * -5) + 2 = 3(2 + -1x)
(20 + -5x) + 2 = 3(2 + -1x)

Reorder the terms:
20 + 2 + -5x = 3(2 + -1x)

Combine like terms: 20 + 2 = 22
22 + -5x = 3(2 + -1x)
22 + -5x = (2 * 3 + -1x * 3)
22 + -5x = (6 + -3x)

Solving
22 + -5x = 6 + -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.
22 + -5x + 3x = 6 + -3x + 3x

Combine like terms: -5x + 3x = -2x
22 + -2x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + -2x = 6 + 0
22 + -2x = 6

Add '-22' to each side of the equation.
22 + -22 + -2x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 6 + -22
-2x = 6 + -22

Combine like terms: 6 + -22 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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