3(2+4x)=5+2(1-2x)

Solution for 3(2+4x)=5+2(1-2x) equation:

Simplifying
3(2 + 4x) = 5 + 2(1 + -2x)
(2 * 3 + 4x * 3) = 5 + 2(1 + -2x)
(6 + 12x) = 5 + 2(1 + -2x)
6 + 12x = 5 + (1 * 2 + -2x * 2)
6 + 12x = 5 + (2 + -4x)

Combine like terms: 5 + 2 = 7
6 + 12x = 7 + -4x

Solving
6 + 12x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 12x + 4x = 7 + -4x + 4x

Combine like terms: 12x + 4x = 16x
6 + 16x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 16x = 7 + 0
6 + 16x = 7

Add '-6' to each side of the equation.
6 + -6 + 16x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = 7 + -6
16x = 7 + -6

Combine like terms: 7 + -6 = 1
16x = 1

Divide each side by '16'.
x = 0.0625

Simplifying
x = 0.0625