Solve 9x − 5 = −32

The solution of 9x − 5 = −32 is x = -3.

9x - 5 = -32\ \Rightarrow\ x = -3

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The lines y = 9x − 5 and y = -32 meet at x = -3. 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.
$9x - 5 = -32$
2
Add 5 to both sides:
$9x - 5 + 5 = -32 + 5 \ \Rightarrow\ 9x = -27$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$9\cdot(-3) - 5 = -27 - 5 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 5 = -32\ \Rightarrow\ x = -3 \]
\[ 9x - 5 = -32 \]
\[ 9x - 5 + 5 = -32 + 5 \ \Rightarrow\ 9x = -27 \]
\[ \frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3 \]
\[ 9\cdot(-3) - 5 = -27 - 5 = -32 \checkmark \]

Trying values of x in 9x − 5 = −32

x	9x − 5	Equals -32?
-5	-50	no
-4	-41	no
-3	-32	yes
-2	-23	no
-1	-14	no

Questions

What is x in 9x − 5 = −32?

The solution of 9x − 5 = −32 is x = -3.

How do you solve 9x − 5 = −32?

Add 5 to both sides to get 9x = -27, then divide both sides by 9 to get x = -3.

How do I check the answer?

Replace x by -3: 9(-3) − 5 = -32, which is -32.

Solve 9x − 5 = −32

How to work it out

Trying values of x in 9x − 5 = −32

Questions

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