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

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

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

Reorder the terms:
2(3 + x) + -3 = 3(x + 1) + -1
(3 * 2 + x * 2) + -3 = 3(x + 1) + -1
(6 + 2x) + -3 = 3(x + 1) + -1

Reorder the terms:
6 + -3 + 2x = 3(x + 1) + -1

Combine like terms: 6 + -3 = 3
3 + 2x = 3(x + 1) + -1

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

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

Combine like terms: 3 + -1 = 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