Algebra Examples

5 c + 4 = 2 (c - 5)

$5 c + 4 = 2 (c - 5)$

Step 1

Simplify

2 (c - 5)

$2 (c - 5)$ .

Tap for more steps...

Step 1.1

Rewrite.

5 c + 4 = 0 + 0 + 2 (c - 5)

$5 c + 4 = 0 + 0 + 2 (c - 5)$

Step 1.2

Simplify by adding zeros.

5 c + 4 = 2 (c - 5)

$5 c + 4 = 2 (c - 5)$

Step 1.3

Apply the distributive property.

5 c + 4 = 2 c + 2 \cdot - 5

$5 c + 4 = 2 c + 2 \cdot - 5$

Step 1.4

Multiply

2

$2$ by

- 5

$- 5$ .

5 c + 4 = 2 c - 10

$5 c + 4 = 2 c - 10$

5 c + 4 = 2 c - 10

$5 c + 4 = 2 c - 10$

Step 2

Move all terms containing

c

$c$ to the left side of the equation.

Tap for more steps...

Step 2.1

Subtract

2 c

$2 c$ from both sides of the equation.

5 c + 4 - 2 c = - 10

$5 c + 4 - 2 c = - 10$

Step 2.2

Subtract

2 c

$2 c$ from

5 c

$5 c$ .

3 c + 4 = - 10

$3 c + 4 = - 10$

3 c + 4 = - 10

$3 c + 4 = - 10$

Step 3

Move all terms not containing

c

$c$ to the right side of the equation.

Tap for more steps...

Step 3.1

Subtract

4

$4$ from both sides of the equation.

3 c = - 10 - 4

$3 c = - 10 - 4$

Step 3.2

Subtract

4

$4$ from

- 10

$- 10$ .

3 c = - 14

$3 c = - 14$

3 c = - 14

$3 c = - 14$

Step 4

Divide each term in

3 c = - 14

$3 c = - 14$ by

3

$3$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in

3 c = - 14

$3 c = - 14$ by

3

$3$ .

\frac{3 c}{3} = \frac{- 14}{3}

$\frac{3 c}{3} = \frac{- 14}{3}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{3 c}{3} = \frac{- 14}{3}$

Step 4.2.1.2

Divide

$c$ by

$1$ .

$c = \frac{- 14}{3}$

$c = \frac{- 14}{3}$

$c = \frac{- 14}{3}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Move the negative in front of the fraction.

$c = - \frac{14}{3}$

$c = - \frac{14}{3}$

$c = - \frac{14}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$c = - \frac{14}{3}$

Decimal Form:

$c = - 4.\overline{6}$

Mixed Number Form:

$c = - 4 \frac{2}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$