Basic Math Examples

$3 z + 22 + 3 z - 3 = 53 - 3 z + 9$

Step 1

Simplify $3 z + 22 + 3 z - 3$ .

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Step 1.1

Add $3 z$ and $3 z$ .

$6 z + 22 - 3 = 53 - 3 z + 9$

Step 1.2

Subtract $3$ from $22$ .

$6 z + 19 = 53 - 3 z + 9$

Step 2

Add $53$ and $9$ .

$6 z + 19 = - 3 z + 62$

Step 3

Move all terms containing $z$ to the left side of the equation.

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Step 3.1

Add $3 z$ to both sides of the equation.

$6 z + 19 + 3 z = 62$

Step 3.2

Add $6 z$ and $3 z$ .

$9 z + 19 = 62$

Step 4

Move all terms not containing $z$ to the right side of the equation.

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Step 4.1

Subtract $19$ from both sides of the equation.

$9 z = 62 - 19$

Step 4.2

Subtract $19$ from $62$ .

$9 z = 43$

Step 5

Divide each term in $9 z = 43$ by $9$ and simplify.

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Step 5.1

Divide each term in $9 z = 43$ by $9$ .

$\frac{9 z}{9} = \frac{43}{9}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $9$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{9 z}{9} = \frac{43}{9}$

Step 5.2.1.2

Divide $z$ by $1$ .

$z = \frac{43}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$z = \frac{43}{9}$

Decimal Form:

$z = 4.\overline{7}$

Mixed Number Form:

$z = 4 \frac{7}{9}$