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

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

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

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

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

Reorder the terms:
-6 + 1 + 2x + -1x = -2x + 10

Combine like terms: -6 + 1 = -5
-5 + 2x + -1x = -2x + 10

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

Reorder the terms:
-5 + 1x = 10 + -2x

Solving
-5 + 1x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 1x + 2x = 10 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-5 + 3x = 10 + 0
-5 + 3x = 10

Add '5' to each side of the equation.
-5 + 5 + 3x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 10 + 5
3x = 10 + 5

Combine like terms: 10 + 5 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5