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

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


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

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

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

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

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

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

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

Solving
4 + 3x = 1 + 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.
4 + 3x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 1x = 1 + 0
4 + 1x = 1

Add '-4' to each side of the equation.
4 + -4 + 1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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