0.20(6)-0.05x=0.10(6+x)

Solution for 0.20(6)-0.05x=0.10(6+x) equation:

Simplifying
0.20(6) + -0.05x = 0.10(6 + x)

Multiply 0.20 * 6
1.2 + -0.05x = 0.10(6 + x)
1.2 + -0.05x = (6 * 0.10 + x * 0.10)
1.2 + -0.05x = (0.6 + 0.10x)

Solving
1.2 + -0.05x = 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.
1.2 + -0.05x + -0.10x = 0.6 + 0.10x + -0.10x

Combine like terms: -0.05x + -0.10x = -0.15x
1.2 + -0.15x = 0.6 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
1.2 + -0.15x = 0.6 + 0.00
1.2 + -0.15x = 0.6

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -0.15x = 0.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.15x = 0.6 + -1.2
-0.15x = 0.6 + -1.2

Combine like terms: 0.6 + -1.2 = -0.6
-0.15x = -0.6

Divide each side by '-0.15'.
x = 4

Simplifying
x = 4