Pre-Algebra Examples

$2 (x - 7) = 10 x + 18$

Step 1

Simplify $2 (x - 7)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (x - 7) = 10 x + 18$

Step 1.2

Simplify by adding zeros.

$2 (x - 7) = 10 x + 18$

Step 1.3

Apply the distributive property.

$2 x + 2 \cdot - 7 = 10 x + 18$

Step 1.4

Multiply $2$ by $- 7$ .

$2 x - 14 = 10 x + 18$

Step 2

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

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Step 2.1

Subtract $10 x$ from both sides of the equation.

$2 x - 14 - 10 x = 18$

Step 2.2

Subtract $10 x$ from $2 x$ .

$- 8 x - 14 = 18$

Step 3

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

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Step 3.1

Add $14$ to both sides of the equation.

$- 8 x = 18 + 14$

Step 3.2

Add $18$ and $14$ .

$- 8 x = 32$

Step 4

Divide each term in $- 8 x = 32$ by $- 8$ and simplify.

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Step 4.1

Divide each term in $- 8 x = 32$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{32}{- 8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 8$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{32}{- 8}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{32}{- 8}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $32$ by $- 8$ .

$x = - 4$