Solve -18=15z-9(2z-2)

Question

Solve the equation

$Solve for z$

z = 12

Evaluate

- 18 = 15 z - 9 (2 z - 2)

Swap the sides of the equation

15 z - 9 (2 z - 2) = - 18

Move the expression to the left side

15 z - 9 (2 z - 2) - (- 18) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

15 z - 9 (2 z - 2) + 18 = 0

Calculate the sum or difference

More Steps

Evaluate

15 z - 9 (2 z - 2) + 18

Expand the expression

More Steps

Calculate

- 9 (2 z - 2)

Apply the distributive property

- 9 \times 2 z - (- 9 \times 2)

Multiply the numbers

- 18 z - (- 9 \times 2)

Multiply the numbers

- 18 z - (- 18)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 18 z + 18

15 z - 18 z + 18 + 18

Subtract the terms

More Steps

Evaluate

15 z - 18 z

Collect like terms by calculating the sum or difference of their coefficients

(15 - 18) z

Subtract the numbers

- 3 z

- 3 z + 18 + 18

Add the numbers

- 3 z + 36

- 3 z + 36 = 0

Move the constant to the right-hand side and change its sign

- 3 z = 0 - 36

Removing 0 doesn't change the value,so remove it from the expression

- 3 z = - 36

Change the signs on both sides of the equation

3 z = 36

Divide both sides

\frac{3 z}{3} = \frac{36}{3}

Divide the numbers

z = \frac{36}{3}

Solution

More Steps

Evaluate

\frac{36}{3}

Reduce the numbers

\frac{12}{1}

Calculate

12

z = 12

Show Solution

18=15z 9(2z 2)

Solve the equation

$Solve for z$

Graph