Pre-Algebra Examples

$17 + 11 x - 13 = 4 (x + 1) + 2 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 (x + 1) + 2 x = 17 + 11 x - 13$

Step 2

Simplify $4 (x + 1) + 2 x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 x + 4 \cdot 1 + 2 x = 17 + 11 x - 13$

Step 2.1.2

Multiply $4$ by $1$ .

$4 x + 4 + 2 x = 17 + 11 x - 13$

Step 2.2

Add $4 x$ and $2 x$ .

$6 x + 4 = 17 + 11 x - 13$

Step 3

Subtract $13$ from $17$ .

$6 x + 4 = 11 x + 4$

Step 4

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

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Step 4.1

Subtract $11 x$ from both sides of the equation.

$6 x + 4 - 11 x = 4$

Step 4.2

Subtract $11 x$ from $6 x$ .

$- 5 x + 4 = 4$

Step 5

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

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Step 5.1

Subtract $4$ from both sides of the equation.

$- 5 x = 4 - 4$

Step 5.2

Subtract $4$ from $4$ .

$- 5 x = 0$

Step 6

Divide each term in $- 5 x = 0$ by $- 5$ and simplify.

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Step 6.1

Divide each term in $- 5 x = 0$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{0}{- 5}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $- 5$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{0}{- 5}$

Step 6.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{- 5}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Divide $0$ by $- 5$ .

$x = 0$