6(8x+1)=9x+36

Solution for 6(8x+1)=9x+36 equation:

Simplifying
6(8x + 1) = 9x + 36

Reorder the terms:
6(1 + 8x) = 9x + 36
(1 * 6 + 8x * 6) = 9x + 36
(6 + 48x) = 9x + 36

Reorder the terms:
6 + 48x = 36 + 9x

Solving
6 + 48x = 36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 48x + -9x = 36 + 9x + -9x

Combine like terms: 48x + -9x = 39x
6 + 39x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 39x = 36 + 0
6 + 39x = 36

Add '-6' to each side of the equation.
6 + -6 + 39x = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 39x = 36 + -6
39x = 36 + -6

Combine like terms: 36 + -6 = 30
39x = 30

Divide each side by '39'.
x = 0.7692307692

Simplifying
x = 0.7692307692