Algebra Examples

$3 (- 2 x + 1) - 2 (x + 13) = 7 x - 4 (1 - x)$

Step 1

Simplify $3 (- 2 x + 1) - 2 (x + 13)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$3 (- 2 x) + 3 \cdot 1 - 2 (x + 13) = 7 x - 4 (1 - x)$

Step 1.1.2

Multiply $- 2$ by $3$ .

$- 6 x + 3 \cdot 1 - 2 (x + 13) = 7 x - 4 (1 - x)$

Step 1.1.3

Multiply $3$ by $1$ .

$- 6 x + 3 - 2 (x + 13) = 7 x - 4 (1 - x)$

Step 1.1.4

Apply the distributive property.

$- 6 x + 3 - 2 x - 2 \cdot 13 = 7 x - 4 (1 - x)$

Step 1.1.5

Multiply $- 2$ by $13$ .

$- 6 x + 3 - 2 x - 26 = 7 x - 4 (1 - x)$

Step 1.2

Simplify by adding terms.

Tap for more steps...

Step 1.2.1

Subtract $2 x$ from $- 6 x$ .

$- 8 x + 3 - 26 = 7 x - 4 (1 - x)$

Step 1.2.2

Subtract $26$ from $3$ .

$- 8 x - 23 = 7 x - 4 (1 - x)$

Step 2

Simplify $7 x - 4 (1 - x)$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$- 8 x - 23 = 7 x - 4 \cdot 1 - 4 (- x)$

Step 2.1.2

Multiply $- 4$ by $1$ .

$- 8 x - 23 = 7 x - 4 - 4 (- x)$

Step 2.1.3

Multiply $- 1$ by $- 4$ .

$- 8 x - 23 = 7 x - 4 + 4 x$

Step 2.2

Add $7 x$ and $4 x$ .

$- 8 x - 23 = 11 x - 4$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $11 x$ from both sides of the equation.

$- 8 x - 23 - 11 x = - 4$

Step 3.2

Subtract $11 x$ from $- 8 x$ .

$- 19 x - 23 = - 4$

Step 4

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

Tap for more steps...

Step 4.1

Add $23$ to both sides of the equation.

$- 19 x = - 4 + 23$

Step 4.2

Add $- 4$ and $23$ .

$- 19 x = 19$

Step 5

Divide each term in $- 19 x = 19$ by $- 19$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $- 19 x = 19$ by $- 19$ .

$\frac{- 19 x}{- 19} = \frac{19}{- 19}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $- 19$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{- 19 x}{- 19} = \frac{19}{- 19}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{19}{- 19}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $19$ by $- 19$ .

$x = - 1$