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

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


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

Reorder the terms:
3 + x + -3x = 4 + -3x + -2

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

Reorder the terms:
3 + -2x = 4 + -2 + -3x

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

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

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

Combine like terms: -3x + 3x = 0
3 + 1x = 2 + 0
3 + 1x = 2

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

Combine like terms: 3 + -3 = 0
0 + 1x = 2 + -3
1x = 2 + -3

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

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

Simplifying
x = -1

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