3x-2(x-1)=10

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

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

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

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

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

Solving
2 + 1x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8