3(3x-2)=.75(4-24x)

Solution for 3(3x-2)=.75(4-24x) equation:

Simplifying
3(3x + -2) = 0.75(4 + -24x)

Reorder the terms:
3(-2 + 3x) = 0.75(4 + -24x)
(-2 * 3 + 3x * 3) = 0.75(4 + -24x)
(-6 + 9x) = 0.75(4 + -24x)
-6 + 9x = (4 * 0.75 + -24x * 0.75)
-6 + 9x = (3 + -18x)

Solving
-6 + 9x = 3 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-6 + 9x + 18x = 3 + -18x + 18x

Combine like terms: 9x + 18x = 27x
-6 + 27x = 3 + -18x + 18x

Combine like terms: -18x + 18x = 0
-6 + 27x = 3 + 0
-6 + 27x = 3

Add '6' to each side of the equation.
-6 + 6 + 27x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 27x = 3 + 6
27x = 3 + 6

Combine like terms: 3 + 6 = 9
27x = 9

Divide each side by '27'.
x = 0.3333333333

Simplifying
x = 0.3333333333