0.45x+0.05(20-x)=0.10(42)

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Solution for 0.45x+0.05(20-x)=0.10(42) equation: 


Simplifying
0.45x + 0.05(20 + -1x) = 0.10(42)
0.45x + (20 * 0.05 + -1x * 0.05) = 0.10(42)
0.45x + (1 + -0.05x) = 0.10(42)

Reorder the terms:
1 + 0.45x + -0.05x = 0.10(42)

Combine like terms: 0.45x + -0.05x = 0.4x
1 + 0.4x = 0.10(42)

Multiply 0.10 * 42
1 + 0.4x = 4.2

Solving
1 + 0.4x = 4.2

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.4x = 4.2 + -1

Combine like terms: 1 + -1 = 0
0 + 0.4x = 4.2 + -1
0.4x = 4.2 + -1

Combine like terms: 4.2 + -1 = 3.2
0.4x = 3.2

Divide each side by '0.4'.
x = 8

Simplifying
x = 8

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