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

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


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

Reorder the terms:
2 + -5x = 3(2 + -1x)
2 + -5x = (2 * 3 + -1x * 3)
2 + -5x = (6 + -3x)

Solving
2 + -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.
2 + -5x + 3x = 6 + -3x + 3x

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

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

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

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

Combine like terms: 6 + -2 = 4
-2x = 4

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

Simplifying
x = -2

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