0.05x+0.06(100-x)=5.1

Solution for 0.05x+0.06(100-x)=5.1 equation:

Simplifying
0.05x + 0.06(100 + -1x) = 5.1
0.05x + (100 * 0.06 + -1x * 0.06) = 5.1
0.05x + (6 + -0.06x) = 5.1

Reorder the terms:
6 + 0.05x + -0.06x = 5.1

Combine like terms: 0.05x + -0.06x = -0.01x
6 + -0.01x = 5.1

Solving
6 + -0.01x = 5.1

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -0.01x = 5.1 + -6

Combine like terms: 6 + -6 = 0
0 + -0.01x = 5.1 + -6
-0.01x = 5.1 + -6

Combine like terms: 5.1 + -6 = -0.9
-0.01x = -0.9

Divide each side by '-0.01'.
x = 90

Simplifying
x = 90