Solve 11x + 3 = −85

The solution of 11x + 3 = −85 is x = -8.

11x + 3 = -85\ \Rightarrow\ x = -8

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

The lines y = 11x + 3 and y = -85 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.
$11x + 3 = -85$
2
Subtract 3 from both sides:
$11x + 3 - 3 = -85 - 3 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) + 3 = -88 + 3 = -85 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 3 = -85\ \Rightarrow\ x = -8 \]
\[ 11x + 3 = -85 \]
\[ 11x + 3 - 3 = -85 - 3 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) + 3 = -88 + 3 = -85 \checkmark \]

Trying values of x in 11x + 3 = −85

x	11x + 3	Equals -85?
-10	-107	no
-9	-96	no
-8	-85	yes
-7	-74	no
-6	-63	no

Questions

What is x in 11x + 3 = −85?

The solution of 11x + 3 = −85 is x = -8.

How do you solve 11x + 3 = −85?

Subtract 3 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) + 3 = -85, which is -85.

Solve 11x + 3 = −85

How to work it out

Trying values of x in 11x + 3 = −85

Questions

Similar equations