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

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


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

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

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

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

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

Combine like terms: 3x + 3x = 6x
2 + 6x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = 4 + 0
2 + 6x = 4

Add '-2' to each side of the equation.
2 + -2 + 6x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 4 + -2
6x = 4 + -2

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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