3(x+1)+2(x+2)=10

Solution for 3(x+1)+2(x+2)=10 equation:

Simplifying
3(x + 1) + 2(x + 2) = 10

Reorder the terms:
3(1 + x) + 2(x + 2) = 10
(1 * 3 + x * 3) + 2(x + 2) = 10
(3 + 3x) + 2(x + 2) = 10

Reorder the terms:
3 + 3x + 2(2 + x) = 10
3 + 3x + (2 * 2 + x * 2) = 10
3 + 3x + (4 + 2x) = 10

Reorder the terms:
3 + 4 + 3x + 2x = 10

Combine like terms: 3 + 4 = 7
7 + 3x + 2x = 10

Combine like terms: 3x + 2x = 5x
7 + 5x = 10

Solving
7 + 5x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 10 + -7
5x = 10 + -7

Combine like terms: 10 + -7 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6