Solve 11x − 8 = −107

The solution of 11x − 8 = −107 is x = -9.

11x - 8 = -107\ \Rightarrow\ x = -9

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

The lines y = 11x − 8 and y = -107 meet at x = -9. 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 subtraction, then the multiplication.
$11x - 8 = -107$
2
Add 8 to both sides:
$11x - 8 + 8 = -107 + 8 \ \Rightarrow\ 11x = -99$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-99}{11} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$11\cdot(-9) - 8 = -99 - 8 = -107 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 8 = -107\ \Rightarrow\ x = -9 \]
\[ 11x - 8 = -107 \]
\[ 11x - 8 + 8 = -107 + 8 \ \Rightarrow\ 11x = -99 \]
\[ \frac{11x}{11} = \frac{-99}{11} \ \Rightarrow\ x = -9 \]
\[ 11\cdot(-9) - 8 = -99 - 8 = -107 \checkmark \]

Trying values of x in 11x − 8 = −107

x	11x − 8	Equals -107?
-11	-129	no
-10	-118	no
-9	-107	yes
-8	-96	no
-7	-85	no

Questions

What is x in 11x − 8 = −107?

The solution of 11x − 8 = −107 is x = -9.

How do you solve 11x − 8 = −107?

Add 8 to both sides to get 11x = -99, then divide both sides by 11 to get x = -9.

How do I check the answer?

Replace x by -9: 11(-9) − 8 = -107, which is -107.

Solve 11x − 8 = −107

How to work it out

Trying values of x in 11x − 8 = −107

Questions

Similar equations