Solve 9x − 14 = −32

The solution of 9x − 14 = −32 is x = -2.

9x - 14 = -32\ \Rightarrow\ x = -2

Explain it step by step in chat Make a short video of it

The lines y = 9x − 14 and y = -32 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.
$9x - 14 = -32$
2
Add 14 to both sides:
$9x - 14 + 14 = -32 + 14 \ \Rightarrow\ 9x = -18$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$9\cdot(-2) - 14 = -18 - 14 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = -32\ \Rightarrow\ x = -2 \]
\[ 9x - 14 = -32 \]
\[ 9x - 14 + 14 = -32 + 14 \ \Rightarrow\ 9x = -18 \]
\[ \frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2 \]
\[ 9\cdot(-2) - 14 = -18 - 14 = -32 \checkmark \]

Trying values of x in 9x − 14 = −32

x	9x − 14	Equals -32?
-4	-50	no
-3	-41	no
-2	-32	yes
-1	-23	no
0	-14	no

Questions

What is x in 9x − 14 = −32?

The solution of 9x − 14 = −32 is x = -2.

How do you solve 9x − 14 = −32?

Add 14 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) − 14 = -32, which is -32.

Solve 9x − 14 = −32

How to work it out

Trying values of x in 9x − 14 = −32

Questions

Similar equations