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

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

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

Reorder the terms:
3(-1 + 4x) + -3 = 8x + 2
(-1 * 3 + 4x * 3) + -3 = 8x + 2
(-3 + 12x) + -3 = 8x + 2

Reorder the terms:
-3 + -3 + 12x = 8x + 2

Combine like terms: -3 + -3 = -6
-6 + 12x = 8x + 2

Reorder the terms:
-6 + 12x = 2 + 8x

Solving
-6 + 12x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 12x + -8x = 2 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-6 + 4x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + 4x = 2 + 0
-6 + 4x = 2

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

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2