Basic Math Examples

7 u + 10 = 4 u - 14

$7 u + 10 = 4 u - 14$

Step 1

Move all terms containing

u

$u$ to the left side of the equation.

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Step 1.1

Subtract

4 u

$4 u$ from both sides of the equation.

7 u + 10 - 4 u = - 14

$7 u + 10 - 4 u = - 14$

Step 1.2

Subtract

4 u

$4 u$ from

7 u

$7 u$ .

3 u + 10 = - 14

$3 u + 10 = - 14$

3 u + 10 = - 14

$3 u + 10 = - 14$

Step 2

Move all terms not containing

u

$u$ to the right side of the equation.

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Step 2.1

Subtract

10

$10$ from both sides of the equation.

3 u = - 14 - 10

$3 u = - 14 - 10$

Step 2.2

Subtract

10

$10$ from

- 14

$- 14$ .

3 u = - 24

$3 u = - 24$

3 u = - 24

$3 u = - 24$

Step 3

Divide each term in

3 u = - 24

$3 u = - 24$ by

3

$3$ and simplify.

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Step 3.1

Divide each term in

3 u = - 24

$3 u = - 24$ by

3

$3$ .

\frac{3 u}{3} = \frac{- 24}{3}

$\frac{3 u}{3} = \frac{- 24}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

3

$3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 u}{3} = \frac{- 24}{3}$

Step 3.2.1.2

Divide

$u$ by

$1$ .

$u = \frac{- 24}{3}$

$u = \frac{- 24}{3}$

$u = \frac{- 24}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 24$ by

$3$ .

$u = - 8$

$u = - 8$

$u = - 8$

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