Precalculus Examples

$0.36 (18) + 0.06 x = 0.18 (24 + x)$

Step 1

Multiply $0.36$ by $18$ .

$6.48 + 0.06 x = 0.18 (24 + x)$

Step 2

Simplify $0.18 (24 + x)$ .

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Step 2.1

Apply the distributive property.

$6.48 + 0.06 x = 0.18 \cdot 24 + 0.18 x$

Step 2.2

Multiply $0.18$ by $24$ .

$6.48 + 0.06 x = 4.32 + 0.18 x$

Step 3

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

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Step 3.1

Subtract $0.18 x$ from both sides of the equation.

$6.48 + 0.06 x - 0.18 x = 4.32$

Step 3.2

Subtract $0.18 x$ from $0.06 x$ .

$6.48 - 0.12 x = 4.32$

Step 4

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

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Step 4.1

Subtract $6.48$ from both sides of the equation.

$- 0.12 x = 4.32 - 6.48$

Step 4.2

Subtract $6.48$ from $4.32$ .

$- 0.12 x = - 2.16$

Step 5

Divide each term in $- 0.12 x = - 2.16$ by $- 0.12$ and simplify.

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Step 5.1

Divide each term in $- 0.12 x = - 2.16$ by $- 0.12$ .

$\frac{- 0.12 x}{- 0.12} = \frac{- 2.16}{- 0.12}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 0.12$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 0.12 x}{- 0.12} = \frac{- 2.16}{- 0.12}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 2.16}{- 0.12}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 2.16$ by $- 0.12$ .

$x = 18$