6(1+4x)+4(5x+2)=14

Solution for 6(1+4x)+4(5x+2)=14 equation:

Simplifying
6(1 + 4x) + 4(5x + 2) = 14
(1 * 6 + 4x * 6) + 4(5x + 2) = 14
(6 + 24x) + 4(5x + 2) = 14

Reorder the terms:
6 + 24x + 4(2 + 5x) = 14
6 + 24x + (2 * 4 + 5x * 4) = 14
6 + 24x + (8 + 20x) = 14

Reorder the terms:
6 + 8 + 24x + 20x = 14

Combine like terms: 6 + 8 = 14
14 + 24x + 20x = 14

Combine like terms: 24x + 20x = 44x
14 + 44x = 14

Add '-14' to each side of the equation.
14 + -14 + 44x = 14 + -14

Combine like terms: 14 + -14 = 0
0 + 44x = 14 + -14
44x = 14 + -14

Combine like terms: 14 + -14 = 0
44x = 0

Solving
44x = 0

Solving for variable 'x'.

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

Divide each side by '44'.
x = 0

Simplifying
x = 0