Calculus Examples

$2 x - \frac{1}{4} \cdot (12 x + 4) = 3$

Step 1

Simplify $2 x - \frac{1}{4} \cdot (12 x + 4)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$2 x - \frac{1}{4} (12 x) - \frac{1}{4} \cdot 4 = 3$

Step 1.1.2

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.1.2.1

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$2 x + \frac{- 1}{4} (12 x) - \frac{1}{4} \cdot 4 = 3$

Step 1.1.2.2

Factor $4$ out of $12 x$ .

$2 x + \frac{- 1}{4} (4 (3 x)) - \frac{1}{4} \cdot 4 = 3$

Step 1.1.2.3

Cancel the common factor.

$2 x + \frac{- 1}{4} (4 (3 x)) - \frac{1}{4} \cdot 4 = 3$

Step 1.1.2.4

Rewrite the expression.

$2 x - 1 (3 x) - \frac{1}{4} \cdot 4 = 3$

Step 1.1.3

Multiply $3$ by $- 1$ .

$2 x - 3 x - \frac{1}{4} \cdot 4 = 3$

Step 1.1.4

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.1.4.1

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$2 x - 3 x + \frac{- 1}{4} \cdot 4 = 3$

Step 1.1.4.2

Cancel the common factor.

$2 x - 3 x + \frac{- 1}{4} \cdot 4 = 3$

Step 1.1.4.3

Rewrite the expression.

$2 x - 3 x - 1 = 3$

Step 1.2

Subtract $3 x$ from $2 x$ .

$- x - 1 = 3$

Step 2

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

Tap for more steps...

Step 2.1

Add $1$ to both sides of the equation.

$- x = 3 + 1$

Step 2.2

Add $3$ and $1$ .

$- x = 4$

Step 3

Divide each term in $- x = 4$ by $- 1$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- x = 4$ by $- 1$ .

$\frac{- x}{- 1} = \frac{4}{- 1}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{4}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{4}{- 1}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $4$ by $- 1$ .

$x = - 4$