Algebra Examples

$6 (x - 5) = 4 x + 20$

Step 1

Simplify $6 (x - 5)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 6 (x - 5) = 4 x + 20$

Step 1.2

Simplify by adding zeros.

$6 (x - 5) = 4 x + 20$

Step 1.3

Apply the distributive property.

$6 x + 6 \cdot - 5 = 4 x + 20$

Step 1.4

Multiply $6$ by $- 5$ .

$6 x - 30 = 4 x + 20$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $4 x$ from both sides of the equation.

$6 x - 30 - 4 x = 20$

Step 2.2

Subtract $4 x$ from $6 x$ .

$2 x - 30 = 20$

Step 3

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

Tap for more steps...

Step 3.1

Add $30$ to both sides of the equation.

$2 x = 20 + 30$

Step 3.2

Add $20$ and $30$ .

$2 x = 50$

Step 4

Divide each term in $2 x = 50$ by $2$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $2 x = 50$ by $2$ .

$\frac{2 x}{2} = \frac{50}{2}$

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.

$\frac{2 x}{2} = \frac{50}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{50}{2}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $50$ by $2$ .

$x = 25$