.05x+.10(150-x)=.45x

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Solution for .05x+.10(150-x)=.45x equation:


Simplifying
0.05x + 0.10(150 + -1x) = 0.45x
0.05x + (150 * 0.10 + -1x * 0.10) = 0.45x
0.05x + (15 + -0.1x) = 0.45x

Reorder the terms:
15 + 0.05x + -0.1x = 0.45x

Combine like terms: 0.05x + -0.1x = -0.05x
15 + -0.05x = 0.45x

Solving
15 + -0.05x = 0.45x

Solving for variable 'x'.

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

Add '-0.45x' to each side of the equation.
15 + -0.05x + -0.45x = 0.45x + -0.45x

Combine like terms: -0.05x + -0.45x = -0.5x
15 + -0.5x = 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
15 + -0.5x = 0.00

Add '-15' to each side of the equation.
15 + -15 + -0.5x = 0.00 + -15

Combine like terms: 15 + -15 = 0
0 + -0.5x = 0.00 + -15
-0.5x = 0.00 + -15

Combine like terms: 0.00 + -15 = -15
-0.5x = -15

Divide each side by '-0.5'.
x = 30

Simplifying
x = 30

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