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

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

Simplifying
3(2 + 3x) = 8(x + -4)
(2 * 3 + 3x * 3) = 8(x + -4)
(6 + 9x) = 8(x + -4)

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

Solving
6 + 9x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 9x + -8x = -32 + 8x + -8x

Combine like terms: 9x + -8x = 1x
6 + 1x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 1x = -32 + 0
6 + 1x = -32

Add '-6' to each side of the equation.
6 + -6 + 1x = -32 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -32 + -6
1x = -32 + -6

Combine like terms: -32 + -6 = -38
1x = -38

Divide each side by '1'.
x = -38

Simplifying
x = -38