Solve 11x − 10 = −120

The solution of 11x − 10 = −120 is x = -10.

11x - 10 = -120\ \Rightarrow\ x = -10

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

The lines y = 11x − 10 and y = -120 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 subtraction, then the multiplication.
$11x - 10 = -120$
2
Add 10 to both sides:
$11x - 10 + 10 = -120 + 10 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) - 10 = -110 - 10 = -120 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 10 = -120\ \Rightarrow\ x = -10 \]
\[ 11x - 10 = -120 \]
\[ 11x - 10 + 10 = -120 + 10 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) - 10 = -110 - 10 = -120 \checkmark \]

Trying values of x in 11x − 10 = −120

x	11x − 10	Equals -120?
-12	-142	no
-11	-131	no
-10	-120	yes
-9	-109	no
-8	-98	no

Questions

What is x in 11x − 10 = −120?

The solution of 11x − 10 = −120 is x = -10.

How do you solve 11x − 10 = −120?

Add 10 to both sides to get 11x = -110, then divide both sides by 11 to get x = -10.

How do I check the answer?

Replace x by -10: 11(-10) − 10 = -120, which is -120.

Solve 11x − 10 = −120

How to work it out

Trying values of x in 11x − 10 = −120

Questions

Similar equations