.14x+.07(280-x)=22.4

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Solution for .14x+.07(280-x)=22.4 equation:


Simplifying
0.14x + 0.07(280 + -1x) = 22.4
0.14x + (280 * 0.07 + -1x * 0.07) = 22.4
0.14x + (19.6 + -0.07x) = 22.4

Reorder the terms:
19.6 + 0.14x + -0.07x = 22.4

Combine like terms: 0.14x + -0.07x = 0.07x
19.6 + 0.07x = 22.4

Solving
19.6 + 0.07x = 22.4

Solving for variable 'x'.

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

Add '-19.6' to each side of the equation.
19.6 + -19.6 + 0.07x = 22.4 + -19.6

Combine like terms: 19.6 + -19.6 = 0.0
0.0 + 0.07x = 22.4 + -19.6
0.07x = 22.4 + -19.6

Combine like terms: 22.4 + -19.6 = 2.8
0.07x = 2.8

Divide each side by '0.07'.
x = 40

Simplifying
x = 40

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