.05x+.10(200-x)=.45x(40)

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Solution for .05x+.10(200-x)=.45x(40) equation:


Simplifying
0.05x + 0.10(200 + -1x) = 0.45x(40)
0.05x + (200 * 0.10 + -1x * 0.10) = 0.45x(40)
0.05x + (20 + -0.1x) = 0.45x(40)

Reorder the terms:
20 + 0.05x + -0.1x = 0.45x(40)

Combine like terms: 0.05x + -0.1x = -0.05x
20 + -0.05x = 0.45x(40)

Reorder the terms for easier multiplication:
20 + -0.05x = 0.45 * 40x

Multiply 0.45 * 40
20 + -0.05x = 18x

Solving
20 + -0.05x = 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
20 + -0.05x + -18x = 18x + -18x

Combine like terms: -0.05x + -18x = -18.05x
20 + -18.05x = 18x + -18x

Combine like terms: 18x + -18x = 0
20 + -18.05x = 0

Add '-20' to each side of the equation.
20 + -20 + -18.05x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -18.05x = 0 + -20
-18.05x = 0 + -20

Combine like terms: 0 + -20 = -20
-18.05x = -20

Divide each side by '-18.05'.
x = 1.108033241

Simplifying
x = 1.108033241

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