Algebra Examples

2 n - 7 = 5 n - 10

$2 n - 7 = 5 n - 10$

Step 1

Move all terms containing

n

$n$ to the left side of the equation.

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Step 1.1

Subtract

5 n

$5 n$ from both sides of the equation.

2 n - 7 - 5 n = - 10

$2 n - 7 - 5 n = - 10$

Step 1.2

Subtract

5 n

$5 n$ from

2 n

$2 n$ .

- 3 n - 7 = - 10

$- 3 n - 7 = - 10$

- 3 n - 7 = - 10

$- 3 n - 7 = - 10$

Step 2

Move all terms not containing

n

$n$ to the right side of the equation.

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Step 2.1

Add

7

$7$ to both sides of the equation.

- 3 n = - 10 + 7

$- 3 n = - 10 + 7$

Step 2.2

Add

- 10

$- 10$ and

7

$7$ .

- 3 n = - 3

$- 3 n = - 3$

- 3 n = - 3

$- 3 n = - 3$

Step 3

Divide each term in

- 3 n = - 3

$- 3 n = - 3$ by

- 3

$- 3$ and simplify.

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Step 3.1

Divide each term in

- 3 n = - 3

$- 3 n = - 3$ by

- 3

$- 3$ .

\frac{- 3 n}{- 3} = \frac{- 3}{- 3}

$\frac{- 3 n}{- 3} = \frac{- 3}{- 3}$

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 n}{- 3} = \frac{- 3}{- 3}

$\frac{- 3 n}{- 3} = \frac{- 3}{- 3}$

Step 3.2.1.2

Divide

n

$n$ by

1

$1$ .

n = \frac{- 3}{- 3}

$n = \frac{- 3}{- 3}$

n = \frac{- 3}{- 3}

$n = \frac{- 3}{- 3}$

n = \frac{- 3}{- 3}

$n = \frac{- 3}{- 3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

- 3

$- 3$ by

- 3

$- 3$ .

n = 1

$n = 1$

n = 1

$n = 1$

n = 1

$n = 1$

2 n - 7 = 5 n - 10

$2 n - 7 = 5 n - 10$

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

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