Solve 9x + 8 = −82

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

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

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The lines y = 9x + 8 and y = -82 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 addition, then the multiplication.
$9x + 8 = -82$
2
Subtract 8 from both sides:
$9x + 8 - 8 = -82 - 8 \ \Rightarrow\ 9x = -90$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$9\cdot(-10) + 8 = -90 + 8 = -82 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 8 = -82\ \Rightarrow\ x = -10 \]
\[ 9x + 8 = -82 \]
\[ 9x + 8 - 8 = -82 - 8 \ \Rightarrow\ 9x = -90 \]
\[ \frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10 \]
\[ 9\cdot(-10) + 8 = -90 + 8 = -82 \checkmark \]

Trying values of x in 9x + 8 = −82

x	9x + 8	Equals -82?
-12	-100	no
-11	-91	no
-10	-82	yes
-9	-73	no
-8	-64	no

Questions

What is x in 9x + 8 = −82?

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

How do you solve 9x + 8 = −82?

Subtract 8 from 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 = -82, which is -82.

Solve 9x + 8 = −82

How to work it out

Trying values of x in 9x + 8 = −82

Questions

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