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

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

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

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

Combine like terms: -2x + 3x = 1x
6 + 1x = 10

Solving
6 + 1x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 10 + -6
1x = 10 + -6

Combine like terms: 10 + -6 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4