3(x+2)+11=2(x+3)+10

Solution for 3(x+2)+11=2(x+3)+10 equation:

Simplifying
3(x + 2) + 11 = 2(x + 3) + 10

Reorder the terms:
3(2 + x) + 11 = 2(x + 3) + 10
(2 * 3 + x * 3) + 11 = 2(x + 3) + 10
(6 + 3x) + 11 = 2(x + 3) + 10

Reorder the terms:
6 + 11 + 3x = 2(x + 3) + 10

Combine like terms: 6 + 11 = 17
17 + 3x = 2(x + 3) + 10

Reorder the terms:
17 + 3x = 2(3 + x) + 10
17 + 3x = (3 * 2 + x * 2) + 10
17 + 3x = (6 + 2x) + 10

Reorder the terms:
17 + 3x = 6 + 10 + 2x

Combine like terms: 6 + 10 = 16
17 + 3x = 16 + 2x

Solving
17 + 3x = 16 + 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.
17 + 3x + -2x = 16 + 2x + -2x

Combine like terms: 3x + -2x = 1x
17 + 1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + 1x = 16 + 0
17 + 1x = 16

Add '-17' to each side of the equation.
17 + -17 + 1x = 16 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 16 + -17
1x = 16 + -17

Combine like terms: 16 + -17 = -1
1x = -1

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

Simplifying
x = -1