-78=3(7x+8)-3(8-6x)

Solution for -78=3(7x+8)-3(8-6x) equation:

Simplifying
-78 = 3(7x + 8) + -3(8 + -6x)

Reorder the terms:
-78 = 3(8 + 7x) + -3(8 + -6x)
-78 = (8 * 3 + 7x * 3) + -3(8 + -6x)
-78 = (24 + 21x) + -3(8 + -6x)
-78 = 24 + 21x + (8 * -3 + -6x * -3)
-78 = 24 + 21x + (-24 + 18x)

Reorder the terms:
-78 = 24 + -24 + 21x + 18x

Combine like terms: 24 + -24 = 0
-78 = 0 + 21x + 18x
-78 = 21x + 18x

Combine like terms: 21x + 18x = 39x
-78 = 39x

Solving
-78 = 39x

Solving for variable 'x'.

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

Add '-39x' to each side of the equation.
-78 + -39x = 39x + -39x

Combine like terms: 39x + -39x = 0
-78 + -39x = 0

Add '78' to each side of the equation.
-78 + 78 + -39x = 0 + 78

Combine like terms: -78 + 78 = 0
0 + -39x = 0 + 78
-39x = 0 + 78

Combine like terms: 0 + 78 = 78
-39x = 78

Divide each side by '-39'.
x = -2

Simplifying
x = -2