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

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

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

Reorder the terms:
3(-2 + x) + -2(10 + -1x) = -1
(-2 * 3 + x * 3) + -2(10 + -1x) = -1
(-6 + 3x) + -2(10 + -1x) = -1
-6 + 3x + (10 * -2 + -1x * -2) = -1
-6 + 3x + (-20 + 2x) = -1

Reorder the terms:
-6 + -20 + 3x + 2x = -1

Combine like terms: -6 + -20 = -26
-26 + 3x + 2x = -1

Combine like terms: 3x + 2x = 5x
-26 + 5x = -1

Solving
-26 + 5x = -1

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 5x = -1 + 26

Combine like terms: -26 + 26 = 0
0 + 5x = -1 + 26
5x = -1 + 26

Combine like terms: -1 + 26 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5