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

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Solution for 4-3x+1=-(x-2) equation:


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

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

Combine like terms: 4 + 1 = 5
5 + -3x = -1(x + -2)

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

Solving
5 + -3x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + -3x + x = 2 + -1x + x

Combine like terms: -3x + x = -2x
5 + -2x = 2 + -1x + x

Combine like terms: -1x + x = 0
5 + -2x = 2 + 0
5 + -2x = 2

Add '-5' to each side of the equation.
5 + -5 + -2x = 2 + -5

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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