Algebra Examples

$7 - 4 x + 2 x = 9 + 3 x + 8$

Step 1

Add $- 4 x$ and $2 x$ .

$7 - 2 x = 9 + 3 x + 8$

Step 2

Add $9$ and $8$ .

$7 - 2 x = 3 x + 17$

Step 3

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

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Step 3.1

Subtract $3 x$ from both sides of the equation.

$7 - 2 x - 3 x = 17$

Step 3.2

Subtract $3 x$ from $- 2 x$ .

$7 - 5 x = 17$

Step 4

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

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Step 4.1

Subtract $7$ from both sides of the equation.

$- 5 x = 17 - 7$

Step 4.2

Subtract $7$ from $17$ .

$- 5 x = 10$

Step 5

Divide each term in $- 5 x = 10$ by $- 5$ and simplify.

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Step 5.1

Divide each term in $- 5 x = 10$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{10}{- 5}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 5$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{10}{- 5}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{10}{- 5}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $10$ by $- 5$ .

$x = - 2$