6(6+8x)=78+42x

Solution for 6(6+8x)=78+42x equation:

Simplifying
6(6 + 8x) = 78 + 42x
(6 * 6 + 8x * 6) = 78 + 42x
(36 + 48x) = 78 + 42x

Solving
36 + 48x = 78 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
36 + 48x + -42x = 78 + 42x + -42x

Combine like terms: 48x + -42x = 6x
36 + 6x = 78 + 42x + -42x

Combine like terms: 42x + -42x = 0
36 + 6x = 78 + 0
36 + 6x = 78

Add '-36' to each side of the equation.
36 + -36 + 6x = 78 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 78 + -36
6x = 78 + -36

Combine like terms: 78 + -36 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7