2(x+1)+4=3(x+3)

Solution for 2(x+1)+4=3(x+3) equation:

Simplifying
2(x + 1) + 4 = 3(x + 3)

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

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

Combine like terms: 2 + 4 = 6
6 + 2x = 3(x + 3)

Reorder the terms:
6 + 2x = 3(3 + x)
6 + 2x = (3 * 3 + x * 3)
6 + 2x = (9 + 3x)

Solving
6 + 2x = 9 + 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.
6 + 2x + -3x = 9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1x = 9 + 0
6 + -1x = 9

Add '-6' to each side of the equation.
6 + -6 + -1x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 9 + -6
-1x = 9 + -6

Combine like terms: 9 + -6 = 3
-1x = 3

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

Simplifying
x = -3