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

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

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

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

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

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

Combine like terms: 6 + -1 = 5
3 + 3x = 5 + 2x

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

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

Combine like terms: 2x + -2x = 0
3 + 1x = 5 + 0
3 + 1x = 5

Add '-3' to each side of the equation.
3 + -3 + 1x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 5 + -3
1x = 5 + -3

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

Divide each side by '1'.
x = 2

Simplifying
x = 2