.40x+.05(20-x)=.10(45)

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Solution for .40x+.05(20-x)=.10(45) equation:


Simplifying
0.40x + 0.05(20 + -1x) = 0.10(45)
0.40x + (20 * 0.05 + -1x * 0.05) = 0.10(45)
0.40x + (1 + -0.05x) = 0.10(45)

Reorder the terms:
1 + 0.40x + -0.05x = 0.10(45)

Combine like terms: 0.40x + -0.05x = 0.35x
1 + 0.35x = 0.10(45)

Multiply 0.10 * 45
1 + 0.35x = 4.5

Solving
1 + 0.35x = 4.5

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 + 0.35x = 4.5 + -1

Combine like terms: 1 + -1 = 0
0 + 0.35x = 4.5 + -1
0.35x = 4.5 + -1

Combine like terms: 4.5 + -1 = 3.5
0.35x = 3.5

Divide each side by '0.35'.
x = 10

Simplifying
x = 10

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