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

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

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

Reorder the terms:
4(-1 + 2x) = 3(3x + 2)
(-1 * 4 + 2x * 4) = 3(3x + 2)
(-4 + 8x) = 3(3x + 2)

Reorder the terms:
-4 + 8x = 3(2 + 3x)
-4 + 8x = (2 * 3 + 3x * 3)
-4 + 8x = (6 + 9x)

Solving
-4 + 8x = 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.
-4 + 8x + -9x = 6 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-4 + -1x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -1x = 6 + 0
-4 + -1x = 6

Add '4' to each side of the equation.
-4 + 4 + -1x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 6 + 4
-1x = 6 + 4

Combine like terms: 6 + 4 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10