3(9x-24)=3-1(x+5)

Solution for 3(9x-24)=3-1(x+5) equation:

Simplifying
3(9x + -24) = 3 + -1(x + 5)

Reorder the terms:
3(-24 + 9x) = 3 + -1(x + 5)
(-24 * 3 + 9x * 3) = 3 + -1(x + 5)
(-72 + 27x) = 3 + -1(x + 5)

Reorder the terms:
-72 + 27x = 3 + -1(5 + x)
-72 + 27x = 3 + (5 * -1 + x * -1)
-72 + 27x = 3 + (-5 + -1x)

Combine like terms: 3 + -5 = -2
-72 + 27x = -2 + -1x

Solving
-72 + 27x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-72 + 27x + x = -2 + -1x + x

Combine like terms: 27x + x = 28x
-72 + 28x = -2 + -1x + x

Combine like terms: -1x + x = 0
-72 + 28x = -2 + 0
-72 + 28x = -2

Add '72' to each side of the equation.
-72 + 72 + 28x = -2 + 72

Combine like terms: -72 + 72 = 0
0 + 28x = -2 + 72
28x = -2 + 72

Combine like terms: -2 + 72 = 70
28x = 70

Divide each side by '28'.
x = 2.5

Simplifying
x = 2.5