(.15)(8)+(1)(x)=(.20)(x+8)

Solution for (.15)(8)+(1)(x)=(.20)(x+8) equation:

Simplifying
(0.15)(8) + (1)(x) = (0.20)(x + 8)

Multiply 0.15 * 8
1.2 + (1)(x) = (0.20)(x + 8)

Reorder the terms:
1.2 + 1x = 0.20(8 + x)
1.2 + 1x = (8 * 0.20 + x * 0.20)
1.2 + 1x = (1.6 + 0.20x)

Solving
1.2 + 1x = 1.6 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
1.2 + 1x + -0.20x = 1.6 + 0.20x + -0.20x

Combine like terms: 1x + -0.20x = 0.8x
1.2 + 0.8x = 1.6 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
1.2 + 0.8x = 1.6 + 0.00
1.2 + 0.8x = 1.6

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.8x = 1.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.8x = 1.6 + -1.2
0.8x = 1.6 + -1.2

Combine like terms: 1.6 + -1.2 = 0.4
0.8x = 0.4

Divide each side by '0.8'.
x = 0.5

Simplifying
x = 0.5