2(3-4x)=3(3x+1)

Solution for 2(3-4x)=3(3x+1) equation:

Simplifying
2(3 + -4x) = 3(3x + 1)
(3 * 2 + -4x * 2) = 3(3x + 1)
(6 + -8x) = 3(3x + 1)

Reorder the terms:
6 + -8x = 3(1 + 3x)
6 + -8x = (1 * 3 + 3x * 3)
6 + -8x = (3 + 9x)

Solving
6 + -8x = 3 + 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 + -8x + -9x = 3 + 9x + -9x

Combine like terms: -8x + -9x = -17x
6 + -17x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -17x = 3 + 0
6 + -17x = 3

Add '-6' to each side of the equation.
6 + -6 + -17x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = 3 + -6
-17x = 3 + -6

Combine like terms: 3 + -6 = -3
-17x = -3

Divide each side by '-17'.
x = 0.1764705882

Simplifying
x = 0.1764705882