(.04)(54-x)+(.01)(x)=(.02)(54)

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Solution for (.04)(54-x)+(.01)(x)=(.02)(54) equation: 


Simplifying
(0.04)(54 + -1x) + (0.01)(x) = (0.02)(54)
(54 * 0.04 + -1x * 0.04) + (0.01)(x) = (0.02)(54)
(2.16 + -0.04x) + (0.01)(x) = (0.02)(54)

Combine like terms: -0.04x + 0.01x = -0.03x
2.16 + -0.03x = (0.02)(54)

Multiply 0.02 * 54
2.16 + -0.03x = 1.08

Solving
2.16 + -0.03x = 1.08

Solving for variable 'x'.

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

Add '-2.16' to each side of the equation.
2.16 + -2.16 + -0.03x = 1.08 + -2.16

Combine like terms: 2.16 + -2.16 = 0.00
0.00 + -0.03x = 1.08 + -2.16
-0.03x = 1.08 + -2.16

Combine like terms: 1.08 + -2.16 = -1.08
-0.03x = -1.08

Divide each side by '-0.03'.
x = 36

Simplifying
x = 36

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