3(x+2)-5(x-1)=10

Solution for 3(x+2)-5(x-1)=10 equation:

Simplifying
3(x + 2) + -5(x + -1) = 10

Reorder the terms:
3(2 + x) + -5(x + -1) = 10
(2 * 3 + x * 3) + -5(x + -1) = 10
(6 + 3x) + -5(x + -1) = 10

Reorder the terms:
6 + 3x + -5(-1 + x) = 10
6 + 3x + (-1 * -5 + x * -5) = 10
6 + 3x + (5 + -5x) = 10

Reorder the terms:
6 + 5 + 3x + -5x = 10

Combine like terms: 6 + 5 = 11
11 + 3x + -5x = 10

Combine like terms: 3x + -5x = -2x
11 + -2x = 10

Solving
11 + -2x = 10

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 10 + -11
-2x = 10 + -11

Combine like terms: 10 + -11 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5