Solve 2x + 11 = −9

The solution of 2x + 11 = −9 is x = -10.

2x + 11 = -9\ \Rightarrow\ x = -10

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

The lines y = 2x + 11 and y = -9 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 addition, then the multiplication.
$2x + 11 = -9$
2
Subtract 11 from both sides:
$2x + 11 - 11 = -9 - 11 \ \Rightarrow\ 2x = -20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$2\cdot(-10) + 11 = -20 + 11 = -9 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 11 = -9\ \Rightarrow\ x = -10 \]
\[ 2x + 11 = -9 \]
\[ 2x + 11 - 11 = -9 - 11 \ \Rightarrow\ 2x = -20 \]
\[ \frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10 \]
\[ 2\cdot(-10) + 11 = -20 + 11 = -9 \checkmark \]

Trying values of x in 2x + 11 = −9

x	2x + 11	Equals -9?
-12	-13	no
-11	-11	no
-10	-9	yes
-9	-7	no
-8	-5	no

Questions

What is x in 2x + 11 = −9?

The solution of 2x + 11 = −9 is x = -10.

How do you solve 2x + 11 = −9?

Subtract 11 from both sides to get 2x = -20, then divide both sides by 2 to get x = -10.

How do I check the answer?

Replace x by -10: 2(-10) + 11 = -9, which is -9.

Solve 2x + 11 = −9

How to work it out

Trying values of x in 2x + 11 = −9

Questions

Similar equations