Algebra Examples

$6 (x - 4) + x = 5 (x - 2)$

Step 1

Simplify $6 (x - 4) + x$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$6 x + 6 \cdot - 4 + x = 5 (x - 2)$

Step 1.1.2

Multiply $6$ by $- 4$ .

$6 x - 24 + x = 5 (x - 2)$

Step 1.2

Add $6 x$ and $x$ .

$7 x - 24 = 5 (x - 2)$

Step 2

Simplify $5 (x - 2)$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

$7 x - 24 = 5 x + 5 \cdot - 2$

Step 2.2

Multiply $5$ by $- 2$ .

$7 x - 24 = 5 x - 10$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $5 x$ from both sides of the equation.

$7 x - 24 - 5 x = - 10$

Step 3.2

Subtract $5 x$ from $7 x$ .

$2 x - 24 = - 10$

Step 4

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

Tap for more steps...

Step 4.1

Add $24$ to both sides of the equation.

$2 x = - 10 + 24$

Step 4.2

Add $- 10$ and $24$ .

$2 x = 14$

Step 5

Divide each term in $2 x = 14$ by $2$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $2 x = 14$ by $2$ .

$\frac{2 x}{2} = \frac{14}{2}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{14}{2}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{14}{2}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $14$ by $2$ .

$x = 7$