8x-6(x-1)=3(4x+1)

Solution for 8x-6(x-1)=3(4x+1) equation:

Simplifying
8x + -6(x + -1) = 3(4x + 1)

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

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

Combine like terms: 8x + -6x = 2x
6 + 2x = 3(4x + 1)

Reorder the terms:
6 + 2x = 3(1 + 4x)
6 + 2x = (1 * 3 + 4x * 3)
6 + 2x = (3 + 12x)

Solving
6 + 2x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 2x + -12x = 3 + 12x + -12x

Combine like terms: 2x + -12x = -10x
6 + -10x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -10x = 3 + 0
6 + -10x = 3

Add '-6' to each side of the equation.
6 + -6 + -10x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = 3 + -6
-10x = 3 + -6

Combine like terms: 3 + -6 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3