6(1-4x)=9(x+14)

Solution for 6(1-4x)=9(x+14) equation:

Simplifying
6(1 + -4x) = 9(x + 14)
(1 * 6 + -4x * 6) = 9(x + 14)
(6 + -24x) = 9(x + 14)

Reorder the terms:
6 + -24x = 9(14 + x)
6 + -24x = (14 * 9 + x * 9)
6 + -24x = (126 + 9x)

Solving
6 + -24x = 126 + 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 + -24x + -9x = 126 + 9x + -9x

Combine like terms: -24x + -9x = -33x
6 + -33x = 126 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -33x = 126 + 0
6 + -33x = 126

Add '-6' to each side of the equation.
6 + -6 + -33x = 126 + -6

Combine like terms: 6 + -6 = 0
0 + -33x = 126 + -6
-33x = 126 + -6

Combine like terms: 126 + -6 = 120
-33x = 120

Divide each side by '-33'.
x = -3.636363636

Simplifying
x = -3.636363636