3(x-2)+1(1-x)=13

Solution for 3(x-2)+1(1-x)=13 equation:

Simplifying
3(x + -2) + 1(1 + -1x) = 13

Reorder the terms:
3(-2 + x) + 1(1 + -1x) = 13
(-2 * 3 + x * 3) + 1(1 + -1x) = 13
(-6 + 3x) + 1(1 + -1x) = 13
-6 + 3x + (1 * 1 + -1x * 1) = 13
-6 + 3x + (1 + -1x) = 13

Reorder the terms:
-6 + 1 + 3x + -1x = 13

Combine like terms: -6 + 1 = -5
-5 + 3x + -1x = 13

Combine like terms: 3x + -1x = 2x
-5 + 2x = 13

Solving
-5 + 2x = 13

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 + 2x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 13 + 5
2x = 13 + 5

Combine like terms: 13 + 5 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9