.09x+.12*5=.10(x+5)

Solution for .09x+.12*5=.10(x+5) equation:

Simplifying
0.09x + 0.12 * 5 = 0.10(x + 5)

Multiply 0.12 * 5
0.09x + 0.6 = 0.10(x + 5)

Reorder the terms:
0.6 + 0.09x = 0.10(x + 5)

Reorder the terms:
0.6 + 0.09x = 0.10(5 + x)
0.6 + 0.09x = (5 * 0.10 + x * 0.10)
0.6 + 0.09x = (0.5 + 0.10x)

Solving
0.6 + 0.09x = 0.5 + 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.
0.6 + 0.09x + -0.10x = 0.5 + 0.10x + -0.10x

Combine like terms: 0.09x + -0.10x = -0.01x
0.6 + -0.01x = 0.5 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
0.6 + -0.01x = 0.5 + 0.00
0.6 + -0.01x = 0.5

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.01x = 0.5 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.01x = 0.5 + -0.6
-0.01x = 0.5 + -0.6

Combine like terms: 0.5 + -0.6 = -0.1
-0.01x = -0.1

Divide each side by '-0.01'.
x = 10

Simplifying
x = 10