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

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

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

Reorder the terms:
3(2 + x) + 2(1 + -1x) = 10
(2 * 3 + x * 3) + 2(1 + -1x) = 10
(6 + 3x) + 2(1 + -1x) = 10
6 + 3x + (1 * 2 + -1x * 2) = 10
6 + 3x + (2 + -2x) = 10

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

Combine like terms: 6 + 2 = 8
8 + 3x + -2x = 10

Combine like terms: 3x + -2x = 1x
8 + 1x = 10

Solving
8 + 1x = 10

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 1x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 10 + -8
1x = 10 + -8

Combine like terms: 10 + -8 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2