0.45x+.05(10-x)=.10(45)

Solution for 0.45x+.05(10-x)=.10(45) equation:

Simplifying
0.45x + 0.05(10 + -1x) = 0.10(45)
0.45x + (10 * 0.05 + -1x * 0.05) = 0.10(45)
0.45x + (0.5 + -0.05x) = 0.10(45)

Reorder the terms:
0.5 + 0.45x + -0.05x = 0.10(45)

Combine like terms: 0.45x + -0.05x = 0.4x
0.5 + 0.4x = 0.10(45)

Multiply 0.10 * 45
0.5 + 0.4x = 4.5

Solving
0.5 + 0.4x = 4.5

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.4x = 4.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.4x = 4.5 + -0.5
0.4x = 4.5 + -0.5

Combine like terms: 4.5 + -0.5 = 4
0.4x = 4

Divide each side by '0.4'.
x = 10

Simplifying
x = 10