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

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

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

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

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

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

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

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

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

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667