Solve 11x + 5 = −83

The solution of 11x + 5 = −83 is x = -8.

11x + 5 = -83\ \Rightarrow\ x = -8

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

The lines y = 11x + 5 and y = -83 meet at x = -8. 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.
$11x + 5 = -83$
2
Subtract 5 from both sides:
$11x + 5 - 5 = -83 - 5 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) + 5 = -88 + 5 = -83 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 5 = -83\ \Rightarrow\ x = -8 \]
\[ 11x + 5 = -83 \]
\[ 11x + 5 - 5 = -83 - 5 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) + 5 = -88 + 5 = -83 \checkmark \]

Trying values of x in 11x + 5 = −83

x	11x + 5	Equals -83?
-10	-105	no
-9	-94	no
-8	-83	yes
-7	-72	no
-6	-61	no

Questions

What is x in 11x + 5 = −83?

The solution of 11x + 5 = −83 is x = -8.

How do you solve 11x + 5 = −83?

Subtract 5 from both sides to get 11x = -88, then divide both sides by 11 to get x = -8.

How do I check the answer?

Replace x by -8: 11(-8) + 5 = -83, which is -83.

Solve 11x + 5 = −83

How to work it out

Trying values of x in 11x + 5 = −83

Questions

Similar equations