Solve 9x + 10 = −17

The solution of 9x + 10 = −17 is x = -3.

9x + 10 = -17\ \Rightarrow\ x = -3

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The lines y = 9x + 10 and y = -17 meet at x = -3. 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.
$9x + 10 = -17$
2
Subtract 10 from both sides:
$9x + 10 - 10 = -17 - 10 \ \Rightarrow\ 9x = -27$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$9\cdot(-3) + 10 = -27 + 10 = -17 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 10 = -17\ \Rightarrow\ x = -3 \]
\[ 9x + 10 = -17 \]
\[ 9x + 10 - 10 = -17 - 10 \ \Rightarrow\ 9x = -27 \]
\[ \frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3 \]
\[ 9\cdot(-3) + 10 = -27 + 10 = -17 \checkmark \]

Trying values of x in 9x + 10 = −17

x	9x + 10	Equals -17?
-5	-35	no
-4	-26	no
-3	-17	yes
-2	-8	no
-1	1	no

Questions

What is x in 9x + 10 = −17?

The solution of 9x + 10 = −17 is x = -3.

How do you solve 9x + 10 = −17?

Subtract 10 from both sides to get 9x = -27, then divide both sides by 9 to get x = -3.

How do I check the answer?

Replace x by -3: 9(-3) + 10 = -17, which is -17.

Solve 9x + 10 = −17

How to work it out

Trying values of x in 9x + 10 = −17

Questions

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