.08x+.15(6)=.10(x+6)

Solution for .08x+.15(6)=.10(x+6) equation:

Simplifying
0.08x + 0.15(6) = 0.10(x + 6)

Multiply 0.15 * 6
0.08x + 0.9 = 0.10(x + 6)

Reorder the terms:
0.9 + 0.08x = 0.10(x + 6)

Reorder the terms:
0.9 + 0.08x = 0.10(6 + x)
0.9 + 0.08x = (6 * 0.10 + x * 0.10)
0.9 + 0.08x = (0.6 + 0.10x)

Solving
0.9 + 0.08x = 0.6 + 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
0.9 + 0.08x + -0.10x = 0.6 + 0.10x + -0.10x

Combine like terms: 0.08x + -0.10x = -0.02x
0.9 + -0.02x = 0.6 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
0.9 + -0.02x = 0.6 + 0.00
0.9 + -0.02x = 0.6

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.02x = 0.6 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.02x = 0.6 + -0.9
-0.02x = 0.6 + -0.9

Combine like terms: 0.6 + -0.9 = -0.3
-0.02x = -0.3

Divide each side by '-0.02'.
x = 15

Simplifying
x = 15