Solve 9x + 7 = −83

The solution of 9x + 7 = −83 is x = -10.

9x + 7 = -83\ \Rightarrow\ x = -10

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The lines y = 9x + 7 and y = -83 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.
$9x + 7 = -83$
2
Subtract 7 from both sides:
$9x + 7 - 7 = -83 - 7 \ \Rightarrow\ 9x = -90$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$9\cdot(-10) + 7 = -90 + 7 = -83 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 7 = -83\ \Rightarrow\ x = -10 \]
\[ 9x + 7 = -83 \]
\[ 9x + 7 - 7 = -83 - 7 \ \Rightarrow\ 9x = -90 \]
\[ \frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10 \]
\[ 9\cdot(-10) + 7 = -90 + 7 = -83 \checkmark \]

Trying values of x in 9x + 7 = −83

x	9x + 7	Equals -83?
-12	-101	no
-11	-92	no
-10	-83	yes
-9	-74	no
-8	-65	no

Questions

What is x in 9x + 7 = −83?

The solution of 9x + 7 = −83 is x = -10.

How do you solve 9x + 7 = −83?

Subtract 7 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) + 7 = -83, which is -83.

Solve 9x + 7 = −83

How to work it out

Trying values of x in 9x + 7 = −83

Questions

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