-2(4x+3)+4(7x+2)=42

Solution for -2(4x+3)+4(7x+2)=42 equation:

Simplifying
-2(4x + 3) + 4(7x + 2) = 42

Reorder the terms:
-2(3 + 4x) + 4(7x + 2) = 42
(3 * -2 + 4x * -2) + 4(7x + 2) = 42
(-6 + -8x) + 4(7x + 2) = 42

Reorder the terms:
-6 + -8x + 4(2 + 7x) = 42
-6 + -8x + (2 * 4 + 7x * 4) = 42
-6 + -8x + (8 + 28x) = 42

Reorder the terms:
-6 + 8 + -8x + 28x = 42

Combine like terms: -6 + 8 = 2
2 + -8x + 28x = 42

Combine like terms: -8x + 28x = 20x
2 + 20x = 42

Solving
2 + 20x = 42

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 20x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 20x = 42 + -2
20x = 42 + -2

Combine like terms: 42 + -2 = 40
20x = 40

Divide each side by '20'.
x = 2

Simplifying
x = 2