Solve for x 0.20(x)+0.25(14)=0.22(x+14)

$0.2 (x) + 0.25 (14) = 0.22 (x + 14)$

Multiply $0.25$ by $14$ .

$0.2 x + 3.5 = 0.22 (x + 14)$

Simplify $0.22 (x + 14)$ .

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Apply the distributive property.

$0.2 x + 3.5 = 0.22 x + 0.22 \cdot 14$

Multiply $0.22$ by $14$ .

$0.2 x + 3.5 = 0.22 x + 3.08$

Move all terms containing $x$ to the left side of the equation.

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Subtract $0.22 x$ from both sides of the equation.

$0.2 x + 3.5 - 0.22 x = 3.08$

Subtract $0.22 x$ from $0.2 x$ .

$- 0.02 x + 3.5 = 3.08$

Move all terms not containing $x$ to the right side of the equation.

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Subtract $3.5$ from both sides of the equation.

$- 0.02 x = 3.08 - 3.5$

Subtract $3.5$ from $3.08$ .

$- 0.02 x = - 0.42$

Divide each term by $- 0.02$ and simplify.

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Divide each term in $- 0.02 x = - 0.42$ by $- 0.02$ .

$\frac{- 0.02 x}{- 0.02} = \frac{- 0.42}{- 0.02}$

Cancel the common factor of $- 0.02$ .

$x = \frac{- 0.42}{- 0.02}$

Divide $- 0.42$ by $- 0.02$ .

$x = 21$

Solve for x 0.20(x)+0.25(14)=0.22(x+14)

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