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

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

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

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

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

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

Solving
6 + 2x = 3 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
6 + 2x + -1x = 3 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
6 + 1x = 3 + 0
6 + 1x = 3

Add '-6' to each side of the equation.
6 + -6 + 1x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 3 + -6
1x = 3 + -6

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

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

Simplifying
x = -3