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

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

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

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

Reorder the terms:
3 + 6x = 3(-1 + 8x)
3 + 6x = (-1 * 3 + 8x * 3)
3 + 6x = (-3 + 24x)

Solving
3 + 6x = -3 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
3 + 6x + -24x = -3 + 24x + -24x

Combine like terms: 6x + -24x = -18x
3 + -18x = -3 + 24x + -24x

Combine like terms: 24x + -24x = 0
3 + -18x = -3 + 0
3 + -18x = -3

Add '-3' to each side of the equation.
3 + -3 + -18x = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -18x = -3 + -3
-18x = -3 + -3

Combine like terms: -3 + -3 = -6
-18x = -6

Divide each side by '-18'.
x = 0.3333333333

Simplifying
x = 0.3333333333