2(8x+4)+2(2x-7)=42

Solution for 2(8x+4)+2(2x-7)=42 equation:

Simplifying
2(8x + 4) + 2(2x + -7) = 42

Reorder the terms:
2(4 + 8x) + 2(2x + -7) = 42
(4 * 2 + 8x * 2) + 2(2x + -7) = 42
(8 + 16x) + 2(2x + -7) = 42

Reorder the terms:
8 + 16x + 2(-7 + 2x) = 42
8 + 16x + (-7 * 2 + 2x * 2) = 42
8 + 16x + (-14 + 4x) = 42

Reorder the terms:
8 + -14 + 16x + 4x = 42

Combine like terms: 8 + -14 = -6
-6 + 16x + 4x = 42

Combine like terms: 16x + 4x = 20x
-6 + 20x = 42

Solving
-6 + 20x = 42

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 + 20x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 20x = 42 + 6
20x = 42 + 6

Combine like terms: 42 + 6 = 48
20x = 48

Divide each side by '20'.
x = 2.4

Simplifying
x = 2.4