1.5(x+8)=5.0+0.8x

Solution for 1.5(x+8)=5.0+0.8x equation:

Simplifying
1.5(x + 8) = 5.0 + 0.8x

Reorder the terms:
1.5(8 + x) = 5.0 + 0.8x
(8 * 1.5 + x * 1.5) = 5.0 + 0.8x
(12 + 1.5x) = 5.0 + 0.8x

Solving
12 + 1.5x = 5.0 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
12 + 1.5x + -0.8x = 5.0 + 0.8x + -0.8x

Combine like terms: 1.5x + -0.8x = 0.7x
12 + 0.7x = 5.0 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
12 + 0.7x = 5.0 + 0.0
12 + 0.7x = 5.0

Add '-12' to each side of the equation.
12 + -12 + 0.7x = 5.0 + -12

Combine like terms: 12 + -12 = 0
0 + 0.7x = 5.0 + -12
0.7x = 5.0 + -12

Combine like terms: 5.0 + -12 = -7
0.7x = -7

Divide each side by '0.7'.
x = -10

Simplifying
x = -10