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

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

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

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

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

Reorder the terms:
-6 + 12 + 3x + -2x = 10

Combine like terms: -6 + 12 = 6
6 + 3x + -2x = 10

Combine like terms: 3x + -2x = 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