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

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

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

Reorder the terms:
4(1 + 2x) = 2(3 + -1x)
(1 * 4 + 2x * 4) = 2(3 + -1x)
(4 + 8x) = 2(3 + -1x)
4 + 8x = (3 * 2 + -1x * 2)
4 + 8x = (6 + -2x)

Solving
4 + 8x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + 8x + 2x = 6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
4 + 10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 10x = 6 + 0
4 + 10x = 6

Add '-4' to each side of the equation.
4 + -4 + 10x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 6 + -4
10x = 6 + -4

Combine like terms: 6 + -4 = 2
10x = 2

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2