.01(x)+0.06(10)=0.08(x+10)

Solution for .01(x)+0.06(10)=0.08(x+10) equation:

Simplifying
0.01(x) + 0.06(10) = 0.08(x + 10)

Multiply 0.06 * 10
0.01x + 0.6 = 0.08(x + 10)

Reorder the terms:
0.6 + 0.01x = 0.08(x + 10)

Reorder the terms:
0.6 + 0.01x = 0.08(10 + x)
0.6 + 0.01x = (10 * 0.08 + x * 0.08)
0.6 + 0.01x = (0.8 + 0.08x)

Solving
0.6 + 0.01x = 0.8 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
0.6 + 0.01x + -0.08x = 0.8 + 0.08x + -0.08x

Combine like terms: 0.01x + -0.08x = -0.07x
0.6 + -0.07x = 0.8 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
0.6 + -0.07x = 0.8 + 0.00
0.6 + -0.07x = 0.8

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.07x = 0.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.07x = 0.8 + -0.6
-0.07x = 0.8 + -0.6

Combine like terms: 0.8 + -0.6 = 0.2
-0.07x = 0.2

Divide each side by '-0.07'.
x = -2.857142857

Simplifying
x = -2.857142857