6(1+2x)=5(3x-1)

Solution for 6(1+2x)=5(3x-1) equation:

Simplifying
6(1 + 2x) = 5(3x + -1)
(1 * 6 + 2x * 6) = 5(3x + -1)
(6 + 12x) = 5(3x + -1)

Reorder the terms:
6 + 12x = 5(-1 + 3x)
6 + 12x = (-1 * 5 + 3x * 5)
6 + 12x = (-5 + 15x)

Solving
6 + 12x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 12x + -15x = -5 + 15x + -15x

Combine like terms: 12x + -15x = -3x
6 + -3x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -3x = -5 + 0
6 + -3x = -5

Add '-6' to each side of the equation.
6 + -6 + -3x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -5 + -6
-3x = -5 + -6

Combine like terms: -5 + -6 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667