.05x+.04(500-x)=22

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Solution for .05x+.04(500-x)=22 equation:


Simplifying
0.05x + 0.04(500 + -1x) = 22
0.05x + (500 * 0.04 + -1x * 0.04) = 22
0.05x + (20 + -0.04x) = 22

Reorder the terms:
20 + 0.05x + -0.04x = 22

Combine like terms: 0.05x + -0.04x = 0.01x
20 + 0.01x = 22

Solving
20 + 0.01x = 22

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 0.01x = 22 + -20

Combine like terms: 20 + -20 = 0
0 + 0.01x = 22 + -20
0.01x = 22 + -20

Combine like terms: 22 + -20 = 2
0.01x = 2

Divide each side by '0.01'.
x = 200

Simplifying
x = 200

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