0.04(x)+0.1(6)=0.06(x+6)

Solution for 0.04(x)+0.1(6)=0.06(x+6) equation:

Simplifying
0.04(x) + 0.1(6) = 0.06(x + 6)

Multiply 0.1 * 6
0.04x + 0.6 = 0.06(x + 6)

Reorder the terms:
0.6 + 0.04x = 0.06(x + 6)

Reorder the terms:
0.6 + 0.04x = 0.06(6 + x)
0.6 + 0.04x = (6 * 0.06 + x * 0.06)
0.6 + 0.04x = (0.36 + 0.06x)

Solving
0.6 + 0.04x = 0.36 + 0.06x

Solving for variable 'x'.

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

Add '-0.06x' to each side of the equation.
0.6 + 0.04x + -0.06x = 0.36 + 0.06x + -0.06x

Combine like terms: 0.04x + -0.06x = -0.02x
0.6 + -0.02x = 0.36 + 0.06x + -0.06x

Combine like terms: 0.06x + -0.06x = 0.00
0.6 + -0.02x = 0.36 + 0.00
0.6 + -0.02x = 0.36

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.02x = 0.36 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.02x = 0.36 + -0.6
-0.02x = 0.36 + -0.6

Combine like terms: 0.36 + -0.6 = -0.24
-0.02x = -0.24

Divide each side by '-0.02'.
x = 12

Simplifying
x = 12