Solve 11x − 10 = −43

The solution of 11x − 10 = −43 is x = -3.

11x - 10 = -43\ \Rightarrow\ x = -3

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

The lines y = 11x − 10 and y = -43 meet at x = -3. 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.
$11x - 10 = -43$
2
Add 10 to both sides:
$11x - 10 + 10 = -43 + 10 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) - 10 = -33 - 10 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 10 = -43\ \Rightarrow\ x = -3 \]
\[ 11x - 10 = -43 \]
\[ 11x - 10 + 10 = -43 + 10 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) - 10 = -33 - 10 = -43 \checkmark \]

Trying values of x in 11x − 10 = −43

x	11x − 10	Equals -43?
-5	-65	no
-4	-54	no
-3	-43	yes
-2	-32	no
-1	-21	no

Questions

What is x in 11x − 10 = −43?

The solution of 11x − 10 = −43 is x = -3.

How do you solve 11x − 10 = −43?

Add 10 to both sides to get 11x = -33, then divide both sides by 11 to get x = -3.

How do I check the answer?

Replace x by -3: 11(-3) − 10 = -43, which is -43.

Solve 11x − 10 = −43

How to work it out

Trying values of x in 11x − 10 = −43

Questions

Similar equations