Basic Math Examples

27 - 19 w = 19 w + 90

$27 - 19 w = 19 w + 90$

Step 1

Move all terms containing

w

$w$ to the left side of the equation.

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Step 1.1

Subtract

19 w

$19 w$ from both sides of the equation.

27 - 19 w - 19 w = 90

$27 - 19 w - 19 w = 90$

Step 1.2

Subtract

19 w

$19 w$ from

- 19 w

$- 19 w$ .

27 - 38 w = 90

$27 - 38 w = 90$

27 - 38 w = 90

$27 - 38 w = 90$

Step 2

Move all terms not containing

w

$w$ to the right side of the equation.

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Step 2.1

Subtract

27

$27$ from both sides of the equation.

- 38 w = 90 - 27

$- 38 w = 90 - 27$

Step 2.2

Subtract

27

$27$ from

90

$90$ .

- 38 w = 63

$- 38 w = 63$

- 38 w = 63

$- 38 w = 63$

Step 3

Divide each term in

- 38 w = 63

$- 38 w = 63$ by

- 38

$- 38$ and simplify.

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Step 3.1

Divide each term in

- 38 w = 63

$- 38 w = 63$ by

- 38

$- 38$ .

\frac{- 38 w}{- 38} = \frac{63}{- 38}

$\frac{- 38 w}{- 38} = \frac{63}{- 38}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

- 38

$- 38$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 38 w}{- 38} = \frac{63}{- 38}$

Step 3.2.1.2

Divide

$w$ by

$1$ .

$w = \frac{63}{- 38}$

$w = \frac{63}{- 38}$

$w = \frac{63}{- 38}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$w = - \frac{63}{38}$

$w = - \frac{63}{38}$

$w = - \frac{63}{38}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{63}{38}$

Decimal Form:

$w = - 1.65789473 \dots$

Mixed Number Form:

$w = - 1 \frac{25}{38}$

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