0.45x+0.05(4-x)=0.10(42)

Solution for 0.45x+0.05(4-x)=0.10(42) equation:

Simplifying
0.45x + 0.05(4 + -1x) = 0.10(42)
0.45x + (4 * 0.05 + -1x * 0.05) = 0.10(42)
0.45x + (0.2 + -0.05x) = 0.10(42)

Reorder the terms:
0.2 + 0.45x + -0.05x = 0.10(42)

Combine like terms: 0.45x + -0.05x = 0.4x
0.2 + 0.4x = 0.10(42)

Multiply 0.10 * 42
0.2 + 0.4x = 4.2

Solving
0.2 + 0.4x = 4.2

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.4x = 4.2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.4x = 4.2 + -0.2
0.4x = 4.2 + -0.2

Combine like terms: 4.2 + -0.2 = 4
0.4x = 4

Divide each side by '0.4'.
x = 10

Simplifying
x = 10