3(x-5)+2(6-x)=10

Solution for 3(x-5)+2(6-x)=10 equation:

Simplifying
3(x + -5) + 2(6 + -1x) = 10

Reorder the terms:
3(-5 + x) + 2(6 + -1x) = 10
(-5 * 3 + x * 3) + 2(6 + -1x) = 10
(-15 + 3x) + 2(6 + -1x) = 10
-15 + 3x + (6 * 2 + -1x * 2) = 10
-15 + 3x + (12 + -2x) = 10

Reorder the terms:
-15 + 12 + 3x + -2x = 10

Combine like terms: -15 + 12 = -3
-3 + 3x + -2x = 10

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

Solving
-3 + 1x = 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 + 1x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 10 + 3
1x = 10 + 3

Combine like terms: 10 + 3 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13