2(x-6)+3(x-1)=-20

Solution for 2(x-6)+3(x-1)=-20 equation:

Simplifying
2(x + -6) + 3(x + -1) = -20

Reorder the terms:
2(-6 + x) + 3(x + -1) = -20
(-6 * 2 + x * 2) + 3(x + -1) = -20
(-12 + 2x) + 3(x + -1) = -20

Reorder the terms:
-12 + 2x + 3(-1 + x) = -20
-12 + 2x + (-1 * 3 + x * 3) = -20
-12 + 2x + (-3 + 3x) = -20

Reorder the terms:
-12 + -3 + 2x + 3x = -20

Combine like terms: -12 + -3 = -15
-15 + 2x + 3x = -20

Combine like terms: 2x + 3x = 5x
-15 + 5x = -20

Solving
-15 + 5x = -20

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = -20 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = -20 + 15
5x = -20 + 15

Combine like terms: -20 + 15 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1