-9(x-1)=2(x-3)

Solution for -9(x-1)=2(x-3) equation:

Simplifying
-9(x + -1) = 2(x + -3)

Reorder the terms:
-9(-1 + x) = 2(x + -3)
(-1 * -9 + x * -9) = 2(x + -3)
(9 + -9x) = 2(x + -3)

Reorder the terms:
9 + -9x = 2(-3 + x)
9 + -9x = (-3 * 2 + x * 2)
9 + -9x = (-6 + 2x)

Solving
9 + -9x = -6 + 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.
9 + -9x + -2x = -6 + 2x + -2x

Combine like terms: -9x + -2x = -11x
9 + -11x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -11x = -6 + 0
9 + -11x = -6

Add '-9' to each side of the equation.
9 + -9 + -11x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = -6 + -9
-11x = -6 + -9

Combine like terms: -6 + -9 = -15
-11x = -15

Divide each side by '-11'.
x = 1.363636364

Simplifying
x = 1.363636364