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

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


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

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

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

Solving
3 + 3x = -2 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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