.75(x+8)=0.3(x+27)

Solution for .75(x+8)=0.3(x+27) equation:

Simplifying
0.75(x + 8) = 0.3(x + 27)

Reorder the terms:
0.75(8 + x) = 0.3(x + 27)
(8 * 0.75 + x * 0.75) = 0.3(x + 27)
(6 + 0.75x) = 0.3(x + 27)

Reorder the terms:
6 + 0.75x = 0.3(27 + x)
6 + 0.75x = (27 * 0.3 + x * 0.3)
6 + 0.75x = (8.1 + 0.3x)

Solving
6 + 0.75x = 8.1 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
6 + 0.75x + -0.3x = 8.1 + 0.3x + -0.3x

Combine like terms: 0.75x + -0.3x = 0.45x
6 + 0.45x = 8.1 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
6 + 0.45x = 8.1 + 0.0
6 + 0.45x = 8.1

Add '-6' to each side of the equation.
6 + -6 + 0.45x = 8.1 + -6

Combine like terms: 6 + -6 = 0
0 + 0.45x = 8.1 + -6
0.45x = 8.1 + -6

Combine like terms: 8.1 + -6 = 2.1
0.45x = 2.1

Divide each side by '0.45'.
x = 4.666666667

Simplifying
x = 4.666666667