Solve 9x + 5 = −13

The solution of 9x + 5 = −13 is x = -2.

9x + 5 = -13\ \Rightarrow\ x = -2

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The lines y = 9x + 5 and y = -13 meet at x = -2. 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.
$9x + 5 = -13$
2
Subtract 5 from both sides:
$9x + 5 - 5 = -13 - 5 \ \Rightarrow\ 9x = -18$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$9\cdot(-2) + 5 = -18 + 5 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 5 = -13\ \Rightarrow\ x = -2 \]
\[ 9x + 5 = -13 \]
\[ 9x + 5 - 5 = -13 - 5 \ \Rightarrow\ 9x = -18 \]
\[ \frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2 \]
\[ 9\cdot(-2) + 5 = -18 + 5 = -13 \checkmark \]

Trying values of x in 9x + 5 = −13

x	9x + 5	Equals -13?
-4	-31	no
-3	-22	no
-2	-13	yes
-1	-4	no
0	5	no

Questions

What is x in 9x + 5 = −13?

The solution of 9x + 5 = −13 is x = -2.

How do you solve 9x + 5 = −13?

Subtract 5 from both sides to get 9x = -18, then divide both sides by 9 to get x = -2.

How do I check the answer?

Replace x by -2: 9(-2) + 5 = -13, which is -13.

Solve 9x + 5 = −13

How to work it out

Trying values of x in 9x + 5 = −13

Questions

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