3(3x+2)=8(x-5)

Solution for 3(3x+2)=8(x-5) equation:

Simplifying
3(3x + 2) = 8(x + -5)

Reorder the terms:
3(2 + 3x) = 8(x + -5)
(2 * 3 + 3x * 3) = 8(x + -5)
(6 + 9x) = 8(x + -5)

Reorder the terms:
6 + 9x = 8(-5 + x)
6 + 9x = (-5 * 8 + x * 8)
6 + 9x = (-40 + 8x)

Solving
6 + 9x = -40 + 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 = -40 + 8x + -8x

Combine like terms: 9x + -8x = 1x
6 + 1x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 1x = -40 + 0
6 + 1x = -40

Add '-6' to each side of the equation.
6 + -6 + 1x = -40 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -40 + -6
1x = -40 + -6

Combine like terms: -40 + -6 = -46
1x = -46

Divide each side by '1'.
x = -46

Simplifying
x = -46