Solve for z 10z+90+45=180

$10 z + 90 + 45 = 180$

Step 1

Add $90$ and $45$ .

$10 z + 135 = 180$

Step 2

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

Subtract $135$ from both sides of the equation.

$10 z = 180 - 135$

Subtract $135$ from $180$ .

$10 z = 45$

Step 3

Divide each term in $10 z = 45$ by $10$ and simplify.

Divide each term in $10 z = 45$ by $10$ .

$\frac{10 z}{10} = \frac{45}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 z}{10} = \frac{45}{10}$

Divide $z$ by $1$ .

$z = \frac{45}{10}$

Simplify the right side.

Cancel the common factor of $45$ and $10$ .

Factor $5$ out of $45$ .

$z = \frac{5 (9)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$z = \frac{5 \cdot 9}{5 \cdot 2}$

Cancel the common factor.

$z = \frac{5 \cdot 9}{5 \cdot 2}$

Rewrite the expression.

$z = \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$z = \frac{9}{2}$

Decimal Form:

$z = 4.5$

Mixed Number Form:

$z = 4 \frac{1}{2}$