.75(x+8)=.33(x+27)

Solution for .75(x+8)=.33(x+27) equation:

Simplifying
0.75(x + 8) = 0.33(x + 27)

Reorder the terms:
0.75(8 + x) = 0.33(x + 27)
(8 * 0.75 + x * 0.75) = 0.33(x + 27)
(6 + 0.75x) = 0.33(x + 27)

Reorder the terms:
6 + 0.75x = 0.33(27 + x)
6 + 0.75x = (27 * 0.33 + x * 0.33)
6 + 0.75x = (8.91 + 0.33x)

Solving
6 + 0.75x = 8.91 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
6 + 0.75x + -0.33x = 8.91 + 0.33x + -0.33x

Combine like terms: 0.75x + -0.33x = 0.42x
6 + 0.42x = 8.91 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
6 + 0.42x = 8.91 + 0.00
6 + 0.42x = 8.91

Add '-6' to each side of the equation.
6 + -6 + 0.42x = 8.91 + -6

Combine like terms: 6 + -6 = 0
0 + 0.42x = 8.91 + -6
0.42x = 8.91 + -6

Combine like terms: 8.91 + -6 = 2.91
0.42x = 2.91

Divide each side by '0.42'.
x = 6.928571429

Simplifying
x = 6.928571429