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

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


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

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

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

Remove parenthesis around (-2 + 3x)
2 + 2x = -2 + 3x + 1

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

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

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

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

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

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

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

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

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

Simplifying
x = 3

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