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

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

Simplifying
2(3 + 2x) + 3(x + -1) = 10
(3 * 2 + 2x * 2) + 3(x + -1) = 10
(6 + 4x) + 3(x + -1) = 10

Reorder the terms:
6 + 4x + 3(-1 + x) = 10
6 + 4x + (-1 * 3 + x * 3) = 10
6 + 4x + (-3 + 3x) = 10

Reorder the terms:
6 + -3 + 4x + 3x = 10

Combine like terms: 6 + -3 = 3
3 + 4x + 3x = 10

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

Solving
3 + 7x = 10

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 7x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 10 + -3
7x = 10 + -3

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

Divide each side by '7'.
x = 1

Simplifying
x = 1