Solve 9x − 15 = −33

The solution of 9x − 15 = −33 is x = -2.

9x - 15 = -33\ \Rightarrow\ x = -2

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The lines y = 9x − 15 and y = -33 meet at x = -2. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$9x - 15 = -33$
2
Add 15 to both sides:
$9x - 15 + 15 = -33 + 15 \ \Rightarrow\ 9x = -18$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$9\cdot(-2) - 15 = -18 - 15 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 15 = -33\ \Rightarrow\ x = -2 \]
\[ 9x - 15 = -33 \]
\[ 9x - 15 + 15 = -33 + 15 \ \Rightarrow\ 9x = -18 \]
\[ \frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2 \]
\[ 9\cdot(-2) - 15 = -18 - 15 = -33 \checkmark \]

Trying values of x in 9x − 15 = −33

x	9x − 15	Equals -33?
-4	-51	no
-3	-42	no
-2	-33	yes
-1	-24	no
0	-15	no

Questions

What is x in 9x − 15 = −33?

The solution of 9x − 15 = −33 is x = -2.

How do you solve 9x − 15 = −33?

Add 15 to both sides to get 9x = -18, then divide both sides by 9 to get x = -2.

How do I check the answer?

Replace x by -2: 9(-2) − 15 = -33, which is -33.

Solve 9x − 15 = −33

How to work it out

Trying values of x in 9x − 15 = −33

Questions

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