3(x+2)=8(x-1)5

Solution for 3(x+2)=8(x-1)5 equation:

Simplifying
3(x + 2) = 8(x + -1) * 5

Reorder the terms:
3(2 + x) = 8(x + -1) * 5
(2 * 3 + x * 3) = 8(x + -1) * 5
(6 + 3x) = 8(x + -1) * 5

Reorder the terms:
6 + 3x = 8(-1 + x) * 5

Reorder the terms for easier multiplication:
6 + 3x = 8 * 5(-1 + x)

Multiply 8 * 5
6 + 3x = 40(-1 + x)
6 + 3x = (-1 * 40 + x * 40)
6 + 3x = (-40 + 40x)

Solving
6 + 3x = -40 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
6 + 3x + -40x = -40 + 40x + -40x

Combine like terms: 3x + -40x = -37x
6 + -37x = -40 + 40x + -40x

Combine like terms: 40x + -40x = 0
6 + -37x = -40 + 0
6 + -37x = -40

Add '-6' to each side of the equation.
6 + -6 + -37x = -40 + -6

Combine like terms: 6 + -6 = 0
0 + -37x = -40 + -6
-37x = -40 + -6

Combine like terms: -40 + -6 = -46
-37x = -46

Divide each side by '-37'.
x = 1.243243243

Simplifying
x = 1.243243243