.75(x+8)=.333(x+27)

Solution for .75(x+8)=.333(x+27) equation:

Simplifying
0.75(x + 8) = 0.333(x + 27)

Reorder the terms:
0.75(8 + x) = 0.333(x + 27)
(8 * 0.75 + x * 0.75) = 0.333(x + 27)
(6 + 0.75x) = 0.333(x + 27)

Reorder the terms:
6 + 0.75x = 0.333(27 + x)
6 + 0.75x = (27 * 0.333 + x * 0.333)
6 + 0.75x = (8.991 + 0.333x)

Solving
6 + 0.75x = 8.991 + 0.333x

Solving for variable 'x'.

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

Add '-0.333x' to each side of the equation.
6 + 0.75x + -0.333x = 8.991 + 0.333x + -0.333x

Combine like terms: 0.75x + -0.333x = 0.417x
6 + 0.417x = 8.991 + 0.333x + -0.333x

Combine like terms: 0.333x + -0.333x = 0.000
6 + 0.417x = 8.991 + 0.000
6 + 0.417x = 8.991

Add '-6' to each side of the equation.
6 + -6 + 0.417x = 8.991 + -6

Combine like terms: 6 + -6 = 0
0 + 0.417x = 8.991 + -6
0.417x = 8.991 + -6

Combine like terms: 8.991 + -6 = 2.991
0.417x = 2.991

Divide each side by '0.417'.
x = 7.172661871

Simplifying
x = 7.172661871