6(5-6x)-6(6+x)=-48

Solution for 6(5-6x)-6(6+x)=-48 equation:

Simplifying
6(5 + -6x) + -6(6 + x) = -48
(5 * 6 + -6x * 6) + -6(6 + x) = -48
(30 + -36x) + -6(6 + x) = -48
30 + -36x + (6 * -6 + x * -6) = -48
30 + -36x + (-36 + -6x) = -48

Reorder the terms:
30 + -36 + -36x + -6x = -48

Combine like terms: 30 + -36 = -6
-6 + -36x + -6x = -48

Combine like terms: -36x + -6x = -42x
-6 + -42x = -48

Solving
-6 + -42x = -48

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -42x = -48 + 6

Combine like terms: -6 + 6 = 0
0 + -42x = -48 + 6
-42x = -48 + 6

Combine like terms: -48 + 6 = -42
-42x = -42

Divide each side by '-42'.
x = 1

Simplifying
x = 1