Solve 11x + 10 = −23

The solution of 11x + 10 = −23 is x = -3.

11x + 10 = -23\ \Rightarrow\ x = -3

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

The lines y = 11x + 10 and y = -23 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 addition, then the multiplication.
$11x + 10 = -23$
2
Subtract 10 from both sides:
$11x + 10 - 10 = -23 - 10 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) + 10 = -33 + 10 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 10 = -23\ \Rightarrow\ x = -3 \]
\[ 11x + 10 = -23 \]
\[ 11x + 10 - 10 = -23 - 10 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) + 10 = -33 + 10 = -23 \checkmark \]

Trying values of x in 11x + 10 = −23

x	11x + 10	Equals -23?
-5	-45	no
-4	-34	no
-3	-23	yes
-2	-12	no
-1	-1	no

Questions

What is x in 11x + 10 = −23?

The solution of 11x + 10 = −23 is x = -3.

How do you solve 11x + 10 = −23?

Subtract 10 from 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 = -23, which is -23.

Solve 11x + 10 = −23

How to work it out

Trying values of x in 11x + 10 = −23

Questions

Similar equations