6(5x+1)=9(4x+9)

Solution for 6(5x+1)=9(4x+9) equation:

Simplifying
6(5x + 1) = 9(4x + 9)

Reorder the terms:
6(1 + 5x) = 9(4x + 9)
(1 * 6 + 5x * 6) = 9(4x + 9)
(6 + 30x) = 9(4x + 9)

Reorder the terms:
6 + 30x = 9(9 + 4x)
6 + 30x = (9 * 9 + 4x * 9)
6 + 30x = (81 + 36x)

Solving
6 + 30x = 81 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
6 + 30x + -36x = 81 + 36x + -36x

Combine like terms: 30x + -36x = -6x
6 + -6x = 81 + 36x + -36x

Combine like terms: 36x + -36x = 0
6 + -6x = 81 + 0
6 + -6x = 81

Add '-6' to each side of the equation.
6 + -6 + -6x = 81 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 81 + -6
-6x = 81 + -6

Combine like terms: 81 + -6 = 75
-6x = 75

Divide each side by '-6'.
x = -12.5

Simplifying
x = -12.5