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

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

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

Reorder the terms:
6(-1 + 5x) = -9x + 6
(-1 * 6 + 5x * 6) = -9x + 6
(-6 + 30x) = -9x + 6

Reorder the terms:
-6 + 30x = 6 + -9x

Solving
-6 + 30x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-6 + 30x + 9x = 6 + -9x + 9x

Combine like terms: 30x + 9x = 39x
-6 + 39x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 39x = 6 + 0
-6 + 39x = 6

Add '6' to each side of the equation.
-6 + 6 + 39x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 39x = 6 + 6
39x = 6 + 6

Combine like terms: 6 + 6 = 12
39x = 12

Divide each side by '39'.
x = 0.3076923077

Simplifying
x = 0.3076923077