-3(x-1)=2(x-11)

Solution for -3(x-1)=2(x-11) equation:

Simplifying
-3(x + -1) = 2(x + -11)

Reorder the terms:
-3(-1 + x) = 2(x + -11)
(-1 * -3 + x * -3) = 2(x + -11)
(3 + -3x) = 2(x + -11)

Reorder the terms:
3 + -3x = 2(-11 + x)
3 + -3x = (-11 * 2 + x * 2)
3 + -3x = (-22 + 2x)

Solving
3 + -3x = -22 + 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.
3 + -3x + -2x = -22 + 2x + -2x

Combine like terms: -3x + -2x = -5x
3 + -5x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -5x = -22 + 0
3 + -5x = -22

Add '-3' to each side of the equation.
3 + -3 + -5x = -22 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -22 + -3
-5x = -22 + -3

Combine like terms: -22 + -3 = -25
-5x = -25

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

Simplifying
x = 5