3(2x-2)=4(6x-5)

Solution for 3(2x-2)=4(6x-5) equation:

Simplifying
3(2x + -2) = 4(6x + -5)

Reorder the terms:
3(-2 + 2x) = 4(6x + -5)
(-2 * 3 + 2x * 3) = 4(6x + -5)
(-6 + 6x) = 4(6x + -5)

Reorder the terms:
-6 + 6x = 4(-5 + 6x)
-6 + 6x = (-5 * 4 + 6x * 4)
-6 + 6x = (-20 + 24x)

Solving
-6 + 6x = -20 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-6 + 6x + -24x = -20 + 24x + -24x

Combine like terms: 6x + -24x = -18x
-6 + -18x = -20 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -18x = -20 + 0
-6 + -18x = -20

Add '6' to each side of the equation.
-6 + 6 + -18x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = -20 + 6
-18x = -20 + 6

Combine like terms: -20 + 6 = -14
-18x = -14

Divide each side by '-18'.
x = 0.7777777778

Simplifying
x = 0.7777777778