Solve 9x − 2 = −92

The solution of 9x − 2 = −92 is x = -10.

9x - 2 = -92\ \Rightarrow\ x = -10

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The lines y = 9x − 2 and y = -92 meet at x = -10. 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.
$9x - 2 = -92$
2
Add 2 to both sides:
$9x - 2 + 2 = -92 + 2 \ \Rightarrow\ 9x = -90$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$9\cdot(-10) - 2 = -90 - 2 = -92 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 2 = -92\ \Rightarrow\ x = -10 \]
\[ 9x - 2 = -92 \]
\[ 9x - 2 + 2 = -92 + 2 \ \Rightarrow\ 9x = -90 \]
\[ \frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10 \]
\[ 9\cdot(-10) - 2 = -90 - 2 = -92 \checkmark \]

Trying values of x in 9x − 2 = −92

x	9x − 2	Equals -92?
-12	-110	no
-11	-101	no
-10	-92	yes
-9	-83	no
-8	-74	no

Questions

What is x in 9x − 2 = −92?

The solution of 9x − 2 = −92 is x = -10.

How do you solve 9x − 2 = −92?

Add 2 to both sides to get 9x = -90, then divide both sides by 9 to get x = -10.

How do I check the answer?

Replace x by -10: 9(-10) − 2 = -92, which is -92.

Solve 9x − 2 = −92

How to work it out

Trying values of x in 9x − 2 = −92

Questions

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