0.04(5-x)=0.05(6-x)

Solution for 0.04(5-x)=0.05(6-x) equation:

Simplifying
0.04(5 + -1x) = 0.05(6 + -1x)
(5 * 0.04 + -1x * 0.04) = 0.05(6 + -1x)
(0.2 + -0.04x) = 0.05(6 + -1x)
0.2 + -0.04x = (6 * 0.05 + -1x * 0.05)
0.2 + -0.04x = (0.3 + -0.05x)

Solving
0.2 + -0.04x = 0.3 + -0.05x

Solving for variable 'x'.

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

Add '0.05x' to each side of the equation.
0.2 + -0.04x + 0.05x = 0.3 + -0.05x + 0.05x

Combine like terms: -0.04x + 0.05x = 0.01x
0.2 + 0.01x = 0.3 + -0.05x + 0.05x

Combine like terms: -0.05x + 0.05x = 0.00
0.2 + 0.01x = 0.3 + 0.00
0.2 + 0.01x = 0.3

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.01x = 0.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.01x = 0.3 + -0.2
0.01x = 0.3 + -0.2

Combine like terms: 0.3 + -0.2 = 0.1
0.01x = 0.1

Divide each side by '0.01'.
x = 10

Simplifying
x = 10