0.05x+0.13(10-x)=0.1(10)

Solution for 0.05x+0.13(10-x)=0.1(10) equation:

Simplifying
0.05x + 0.13(10 + -1x) = 0.1(10)
0.05x + (10 * 0.13 + -1x * 0.13) = 0.1(10)
0.05x + (1.3 + -0.13x) = 0.1(10)

Reorder the terms:
1.3 + 0.05x + -0.13x = 0.1(10)

Combine like terms: 0.05x + -0.13x = -0.08x
1.3 + -0.08x = 0.1(10)

Multiply 0.1 * 10
1.3 + -0.08x = 1

Solving
1.3 + -0.08x = 1

Solving for variable 'x'.

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

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -0.08x = 1 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -0.08x = 1 + -1.3
-0.08x = 1 + -1.3

Combine like terms: 1 + -1.3 = -0.3
-0.08x = -0.3

Divide each side by '-0.08'.
x = 3.75

Simplifying
x = 3.75