Solve 9x − 14 = −23

The solution of 9x − 14 = −23 is x = -1.

9x - 14 = -23\ \Rightarrow\ x = -1

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The lines y = 9x − 14 and y = -23 meet at x = -1. 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.
$9x - 14 = -23$
2
Add 14 to both sides:
$9x - 14 + 14 = -23 + 14 \ \Rightarrow\ 9x = -9$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$9\cdot(-1) - 14 = -9 - 14 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = -23\ \Rightarrow\ x = -1 \]
\[ 9x - 14 = -23 \]
\[ 9x - 14 + 14 = -23 + 14 \ \Rightarrow\ 9x = -9 \]
\[ \frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1 \]
\[ 9\cdot(-1) - 14 = -9 - 14 = -23 \checkmark \]

Trying values of x in 9x − 14 = −23

x	9x − 14	Equals -23?
-3	-41	no
-2	-32	no
-1	-23	yes
0	-14	no
1	-5	no

Questions

What is x in 9x − 14 = −23?

The solution of 9x − 14 = −23 is x = -1.

How do you solve 9x − 14 = −23?

Add 14 to both sides to get 9x = -9, then divide both sides by 9 to get x = -1.

How do I check the answer?

Replace x by -1: 9(-1) − 14 = -23, which is -23.

Solve 9x − 14 = −23

How to work it out

Trying values of x in 9x − 14 = −23

Questions

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