Algebra Examples

$2 x - 31 = 3 (x + 2)$

Step 1

Simplify $3 (x + 2)$ .

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Step 1.1

Rewrite.

$2 x - 31 = 0 + 0 + 3 (x + 2)$

Step 1.2

Simplify by adding zeros.

$2 x - 31 = 3 (x + 2)$

Step 1.3

Apply the distributive property.

$2 x - 31 = 3 x + 3 \cdot 2$

Step 1.4

Multiply $3$ by $2$ .

$2 x - 31 = 3 x + 6$

Step 2

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

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Step 2.1

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

$2 x - 31 - 3 x = 6$

Step 2.2

Subtract $3 x$ from $2 x$ .

$- x - 31 = 6$

Step 3

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

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Step 3.1

Add $31$ to both sides of the equation.

$- x = 6 + 31$

Step 3.2

Add $6$ and $31$ .

$- x = 37$

Step 4

Divide each term in $- x = 37$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- x = 37$ by $- 1$ .

$\frac{- x}{- 1} = \frac{37}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{37}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{37}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $37$ by $- 1$ .

$x = - 37$