Finite Math Examples

$5 x + 14 - 2 x = 9 - (4 x + 2)$

Step 1

Subtract $2 x$ from $5 x$ .

$3 x + 14 = 9 - (4 x + 2)$

Step 2

Simplify $9 - (4 x + 2)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 x + 14 = 9 - (4 x) - 1 \cdot 2$

Step 2.1.2

Multiply $4$ by $- 1$ .

$3 x + 14 = 9 - 4 x - 1 \cdot 2$

Step 2.1.3

Multiply $- 1$ by $2$ .

$3 x + 14 = 9 - 4 x - 2$

Step 2.2

Subtract $2$ from $9$ .

$3 x + 14 = - 4 x + 7$

Step 3

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

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Step 3.1

Add $4 x$ to both sides of the equation.

$3 x + 14 + 4 x = 7$

Step 3.2

Add $3 x$ and $4 x$ .

$7 x + 14 = 7$

Step 4

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

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Step 4.1

Subtract $14$ from both sides of the equation.

$7 x = 7 - 14$

Step 4.2

Subtract $14$ from $7$ .

$7 x = - 7$

Step 5

Divide each term in $7 x = - 7$ by $7$ and simplify.

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Step 5.1

Divide each term in $7 x = - 7$ by $7$ .

$\frac{7 x}{7} = \frac{- 7}{7}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $7$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 7}{7}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 7}{7}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 7$ by $7$ .

$x = - 1$