4(2x-8)=3(2-3x)

Solution for 4(2x-8)=3(2-3x) equation:

Simplifying
4(2x + -8) = 3(2 + -3x)

Reorder the terms:
4(-8 + 2x) = 3(2 + -3x)
(-8 * 4 + 2x * 4) = 3(2 + -3x)
(-32 + 8x) = 3(2 + -3x)
-32 + 8x = (2 * 3 + -3x * 3)
-32 + 8x = (6 + -9x)

Solving
-32 + 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.
-32 + 8x + 9x = 6 + -9x + 9x

Combine like terms: 8x + 9x = 17x
-32 + 17x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-32 + 17x = 6 + 0
-32 + 17x = 6

Add '32' to each side of the equation.
-32 + 32 + 17x = 6 + 32

Combine like terms: -32 + 32 = 0
0 + 17x = 6 + 32
17x = 6 + 32

Combine like terms: 6 + 32 = 38
17x = 38

Divide each side by '17'.
x = 2.235294118

Simplifying
x = 2.235294118