1.5(x+8)=3.0+.6x

Solution for 1.5(x+8)=3.0+.6x equation:

Simplifying
1.5(x + 8) = 3.0 + 0.6x

Reorder the terms:
1.5(8 + x) = 3.0 + 0.6x
(8 * 1.5 + x * 1.5) = 3.0 + 0.6x
(12 + 1.5x) = 3.0 + 0.6x

Solving
12 + 1.5x = 3.0 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
12 + 1.5x + -0.6x = 3.0 + 0.6x + -0.6x

Combine like terms: 1.5x + -0.6x = 0.9x
12 + 0.9x = 3.0 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
12 + 0.9x = 3.0 + 0.0
12 + 0.9x = 3.0

Add '-12' to each side of the equation.
12 + -12 + 0.9x = 3.0 + -12

Combine like terms: 12 + -12 = 0
0 + 0.9x = 3.0 + -12
0.9x = 3.0 + -12

Combine like terms: 3.0 + -12 = -9
0.9x = -9

Divide each side by '0.9'.
x = -10

Simplifying
x = -10