6(1-4x)=.5(9(x+14))

Solution for 6(1-4x)=.5(9(x+14)) equation:

Simplifying
6(1 + -4x) = 0.5(9(x + 14))
(1 * 6 + -4x * 6) = 0.5(9(x + 14))
(6 + -24x) = 0.5(9(x + 14))

Reorder the terms:
6 + -24x = 0.5(9(14 + x))
6 + -24x = 0.5((14 * 9 + x * 9))
6 + -24x = 0.5((126 + 9x))
6 + -24x = (126 * 0.5 + 9x * 0.5)
6 + -24x = (63 + 4.5x)

Solving
6 + -24x = 63 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
6 + -24x + -4.5x = 63 + 4.5x + -4.5x

Combine like terms: -24x + -4.5x = -28.5x
6 + -28.5x = 63 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
6 + -28.5x = 63 + 0.0
6 + -28.5x = 63

Add '-6' to each side of the equation.
6 + -6 + -28.5x = 63 + -6

Combine like terms: 6 + -6 = 0
0 + -28.5x = 63 + -6
-28.5x = 63 + -6

Combine like terms: 63 + -6 = 57
-28.5x = 57

Divide each side by '-28.5'.
x = -2

Simplifying
x = -2