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

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Solution for -3x+1=-2(x-2) equation:


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

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

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

Solving
1 + -3x = 4 + -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.
1 + -3x + 2x = 4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
1 + -1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -1x = 4 + 0
1 + -1x = 4

Add '-1' to each side of the equation.
1 + -1 + -1x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 4 + -1
-1x = 4 + -1

Combine like terms: 4 + -1 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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