7x+4(x-8)=78

Solution for 7x+4(x-8)=78 equation:

Simplifying
7x + 4(x + -8) = 78

Reorder the terms:
7x + 4(-8 + x) = 78
7x + (-8 * 4 + x * 4) = 78
7x + (-32 + 4x) = 78

Reorder the terms:
-32 + 7x + 4x = 78

Combine like terms: 7x + 4x = 11x
-32 + 11x = 78

Solving
-32 + 11x = 78

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 11x = 78 + 32

Combine like terms: -32 + 32 = 0
0 + 11x = 78 + 32
11x = 78 + 32

Combine like terms: 78 + 32 = 110
11x = 110

Divide each side by '11'.
x = 10

Simplifying
x = 10