Solve 9x − 8 = −98

The solution of 9x − 8 = −98 is x = -10.

9x - 8 = -98\ \Rightarrow\ x = -10

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The lines y = 9x − 8 and y = -98 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.
$9x - 8 = -98$
2
Add 8 to both sides:
$9x - 8 + 8 = -98 + 8 \ \Rightarrow\ 9x = -90$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$9\cdot(-10) - 8 = -90 - 8 = -98 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 8 = -98\ \Rightarrow\ x = -10 \]
\[ 9x - 8 = -98 \]
\[ 9x - 8 + 8 = -98 + 8 \ \Rightarrow\ 9x = -90 \]
\[ \frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10 \]
\[ 9\cdot(-10) - 8 = -90 - 8 = -98 \checkmark \]

Trying values of x in 9x − 8 = −98

x	9x − 8	Equals -98?
-12	-116	no
-11	-107	no
-10	-98	yes
-9	-89	no
-8	-80	no

Questions

What is x in 9x − 8 = −98?

The solution of 9x − 8 = −98 is x = -10.

How do you solve 9x − 8 = −98?

Add 8 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) − 8 = -98, which is -98.

Solve 9x − 8 = −98

How to work it out

Trying values of x in 9x − 8 = −98

Questions

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