2(4x+3)=2(8x-1)

Solution for 2(4x+3)=2(8x-1) equation:

Simplifying
2(4x + 3) = 2(8x + -1)

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

Reorder the terms:
6 + 8x = 2(-1 + 8x)
6 + 8x = (-1 * 2 + 8x * 2)
6 + 8x = (-2 + 16x)

Solving
6 + 8x = -2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
6 + 8x + -16x = -2 + 16x + -16x

Combine like terms: 8x + -16x = -8x
6 + -8x = -2 + 16x + -16x

Combine like terms: 16x + -16x = 0
6 + -8x = -2 + 0
6 + -8x = -2

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

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

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

Divide each side by '-8'.
x = 1

Simplifying
x = 1