Solve 9x − 10 = −82

The solution of 9x − 10 = −82 is x = -8.

9x - 10 = -82\ \Rightarrow\ x = -8

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The lines y = 9x − 10 and y = -82 meet at x = -8. 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.
$9x - 10 = -82$
2
Add 10 to both sides:
$9x - 10 + 10 = -82 + 10 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) - 10 = -72 - 10 = -82 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 10 = -82\ \Rightarrow\ x = -8 \]
\[ 9x - 10 = -82 \]
\[ 9x - 10 + 10 = -82 + 10 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) - 10 = -72 - 10 = -82 \checkmark \]

Trying values of x in 9x − 10 = −82

x	9x − 10	Equals -82?
-10	-100	no
-9	-91	no
-8	-82	yes
-7	-73	no
-6	-64	no

Questions

What is x in 9x − 10 = −82?

The solution of 9x − 10 = −82 is x = -8.

How do you solve 9x − 10 = −82?

Add 10 to both sides to get 9x = -72, then divide both sides by 9 to get x = -8.

How do I check the answer?

Replace x by -8: 9(-8) − 10 = -82, which is -82.

Solve 9x − 10 = −82

How to work it out

Trying values of x in 9x − 10 = −82

Questions

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