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

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

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

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

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

Combine like terms: -3 + -2 = -5
-5 + 3x + 1x = 10

Combine like terms: 3x + 1x = 4x
-5 + 4x = 10

Solving
-5 + 4x = 10

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 10 + 5
4x = 10 + 5

Combine like terms: 10 + 5 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75