Pre-Algebra Examples

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

Step 1

Simplify $- 7 (x - 8)$ .

Tap for more steps...

Step 1.1

Rewrite.

$4 x + 3 = 0 + 0 - 7 (x - 8)$

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

$4 x + 3 = - 7 x - 7 \cdot - 8$

Step 1.4

Multiply $- 7$ by $- 8$ .

$4 x + 3 = - 7 x + 56$

Step 2

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

Tap for more steps...

Step 2.1

Add $7 x$ to both sides of the equation.

$4 x + 3 + 7 x = 56$

Step 2.2

Add $4 x$ and $7 x$ .

$11 x + 3 = 56$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $3$ from both sides of the equation.

$11 x = 56 - 3$

Step 3.2

Subtract $3$ from $56$ .

$11 x = 53$

Step 4

Divide each term in $11 x = 53$ by $11$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $11 x = 53$ by $11$ .

$\frac{11 x}{11} = \frac{53}{11}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $11$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{11 x}{11} = \frac{53}{11}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{53}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{53}{11}$

Decimal Form:

$x = 4.\overline{81}$

Mixed Number Form:

$x = 4 \frac{9}{11}$