Basic Math Examples

2 w + 3 = 4 w - 5

$2 w + 3 = 4 w - 5$

Step 1

Move all terms containing

w

$w$ to the left side of the equation.

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Step 1.1

Subtract

4 w

$4 w$ from both sides of the equation.

2 w + 3 - 4 w = - 5

$2 w + 3 - 4 w = - 5$

Step 1.2

Subtract

4 w

$4 w$ from

2 w

$2 w$ .

- 2 w + 3 = - 5

$- 2 w + 3 = - 5$

- 2 w + 3 = - 5

$- 2 w + 3 = - 5$

Step 2

Move all terms not containing

w

$w$ to the right side of the equation.

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Step 2.1

Subtract

3

$3$ from both sides of the equation.

- 2 w = - 5 - 3

$- 2 w = - 5 - 3$

Step 2.2

Subtract

3

$3$ from

- 5

$- 5$ .

- 2 w = - 8

$- 2 w = - 8$

- 2 w = - 8

$- 2 w = - 8$

Step 3

Divide each term in

- 2 w = - 8

$- 2 w = - 8$ by

- 2

$- 2$ and simplify.

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Step 3.1

Divide each term in

- 2 w = - 8

$- 2 w = - 8$ by

- 2

$- 2$ .

\frac{- 2 w}{- 2} = \frac{- 8}{- 2}

$\frac{- 2 w}{- 2} = \frac{- 8}{- 2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

- 2

$- 2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 2 w}{- 2} = \frac{- 8}{- 2}$

Step 3.2.1.2

Divide

$w$ by

$1$ .

$w = \frac{- 8}{- 2}$

$w = \frac{- 8}{- 2}$

$w = \frac{- 8}{- 2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 8$ by

$- 2$ .

$w = 4$

$w = 4$

$w = 4$

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