Solve 9x + 14 = −31

The solution of 9x + 14 = −31 is x = -5.

9x + 14 = -31\ \Rightarrow\ x = -5

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The lines y = 9x + 14 and y = -31 meet at x = -5. 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.
$9x + 14 = -31$
2
Subtract 14 from both sides:
$9x + 14 - 14 = -31 - 14 \ \Rightarrow\ 9x = -45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$9\cdot(-5) + 14 = -45 + 14 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 14 = -31\ \Rightarrow\ x = -5 \]
\[ 9x + 14 = -31 \]
\[ 9x + 14 - 14 = -31 - 14 \ \Rightarrow\ 9x = -45 \]
\[ \frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5 \]
\[ 9\cdot(-5) + 14 = -45 + 14 = -31 \checkmark \]

Trying values of x in 9x + 14 = −31

x	9x + 14	Equals -31?
-7	-49	no
-6	-40	no
-5	-31	yes
-4	-22	no
-3	-13	no

Questions

What is x in 9x + 14 = −31?

The solution of 9x + 14 = −31 is x = -5.

How do you solve 9x + 14 = −31?

Subtract 14 from both sides to get 9x = -45, then divide both sides by 9 to get x = -5.

How do I check the answer?

Replace x by -5: 9(-5) + 14 = -31, which is -31.

Solve 9x + 14 = −31

How to work it out

Trying values of x in 9x + 14 = −31

Questions

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