6(2x-1)=-5(x-9)

Solution for 6(2x-1)=-5(x-9) equation:

Simplifying
6(2x + -1) = -5(x + -9)

Reorder the terms:
6(-1 + 2x) = -5(x + -9)
(-1 * 6 + 2x * 6) = -5(x + -9)
(-6 + 12x) = -5(x + -9)

Reorder the terms:
-6 + 12x = -5(-9 + x)
-6 + 12x = (-9 * -5 + x * -5)
-6 + 12x = (45 + -5x)

Solving
-6 + 12x = 45 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + 12x + 5x = 45 + -5x + 5x

Combine like terms: 12x + 5x = 17x
-6 + 17x = 45 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 17x = 45 + 0
-6 + 17x = 45

Add '6' to each side of the equation.
-6 + 6 + 17x = 45 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 45 + 6
17x = 45 + 6

Combine like terms: 45 + 6 = 51
17x = 51

Divide each side by '17'.
x = 3

Simplifying
x = 3