Algebra Examples

$3 x - 4 (2 + x) = 18$

Step 1

Simplify $3 x - 4 (2 + x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 x - 4 \cdot 2 - 4 x = 18$

Step 1.1.2

Multiply $- 4$ by $2$ .

$3 x - 8 - 4 x = 18$

Step 1.2

Subtract $4 x$ from $3 x$ .

$- x - 8 = 18$

Step 2

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

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Step 2.1

Add $8$ to both sides of the equation.

$- x = 18 + 8$

Step 2.2

Add $18$ and $8$ .

$- x = 26$

Step 3

Divide each term in $- x = 26$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = 26$ by $- 1$ .

$\frac{- x}{- 1} = \frac{26}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{26}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{26}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $26$ by $- 1$ .

$x = - 26$