Finite Math Examples

$3 (4 + x) = 28 + x$

Step 1

Simplify $3 (4 + x)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 3 (4 + x) = 28 + x$

Step 1.2

Simplify by adding zeros.

$3 (4 + x) = 28 + x$

Step 1.3

Apply the distributive property.

$3 \cdot 4 + 3 x = 28 + x$

Step 1.4

Multiply $3$ by $4$ .

$12 + 3 x = 28 + x$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $x$ from both sides of the equation.

$12 + 3 x - x = 28$

Step 2.2

Subtract $x$ from $3 x$ .

$12 + 2 x = 28$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $12$ from both sides of the equation.

$2 x = 28 - 12$

Step 3.2

Subtract $12$ from $28$ .

$2 x = 16$

Step 4

Divide each term in $2 x = 16$ by $2$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $2 x = 16$ by $2$ .

$\frac{2 x}{2} = \frac{16}{2}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{16}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{16}{2}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $16$ by $2$ .

$x = 8$