Solve 9x + 14 = −76

The solution of 9x + 14 = −76 is x = -10.

9x + 14 = -76\ \Rightarrow\ x = -10

Explain it step by step in chat Make a short video of it

The lines y = 9x + 14 and y = -76 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.
$9x + 14 = -76$
2
Subtract 14 from both sides:
$9x + 14 - 14 = -76 - 14 \ \Rightarrow\ 9x = -90$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$9\cdot(-10) + 14 = -90 + 14 = -76 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 14 = -76\ \Rightarrow\ x = -10 \]
\[ 9x + 14 = -76 \]
\[ 9x + 14 - 14 = -76 - 14 \ \Rightarrow\ 9x = -90 \]
\[ \frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10 \]
\[ 9\cdot(-10) + 14 = -90 + 14 = -76 \checkmark \]

Trying values of x in 9x + 14 = −76

x	9x + 14	Equals -76?
-12	-94	no
-11	-85	no
-10	-76	yes
-9	-67	no
-8	-58	no

Questions

What is x in 9x + 14 = −76?

The solution of 9x + 14 = −76 is x = -10.

How do you solve 9x + 14 = −76?

Subtract 14 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) + 14 = -76, which is -76.

Solve 9x + 14 = −76

How to work it out

Trying values of x in 9x + 14 = −76

Questions

Similar equations