-4x+2(5x+3)=78

Solution for -4x+2(5x+3)=78 equation:

Simplifying
-4x + 2(5x + 3) = 78

Reorder the terms:
-4x + 2(3 + 5x) = 78
-4x + (3 * 2 + 5x * 2) = 78
-4x + (6 + 10x) = 78

Reorder the terms:
6 + -4x + 10x = 78

Combine like terms: -4x + 10x = 6x
6 + 6x = 78

Solving
6 + 6x = 78

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 + 6x = 78 + -6

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

Combine like terms: 78 + -6 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12