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

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


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

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

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

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

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

Reorder the terms:
5 + 3x = 3 + x + -3x

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

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

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

Combine like terms: -2x + 2x = 0
5 + 5x = 3 + 0
5 + 5x = 3

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

Combine like terms: 5 + -5 = 0
0 + 5x = 3 + -5
5x = 3 + -5

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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