2(4x+1)+4(x-2)=

Solution for 2(4x+1)+4(x-2)= equation:

Simplifying
2(4x + 1) + 4(x + -2) = 0

Reorder the terms:
2(1 + 4x) + 4(x + -2) = 0
(1 * 2 + 4x * 2) + 4(x + -2) = 0
(2 + 8x) + 4(x + -2) = 0

Reorder the terms:
2 + 8x + 4(-2 + x) = 0
2 + 8x + (-2 * 4 + x * 4) = 0
2 + 8x + (-8 + 4x) = 0

Reorder the terms:
2 + -8 + 8x + 4x = 0

Combine like terms: 2 + -8 = -6
-6 + 8x + 4x = 0

Combine like terms: 8x + 4x = 12x
-6 + 12x = 0

Solving
-6 + 12x = 0

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 + 12x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 0 + 6
12x = 0 + 6

Combine like terms: 0 + 6 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5