Solve 2x − 11 = −31

The solution of 2x − 11 = −31 is x = -10.

2x - 11 = -31\ \Rightarrow\ x = -10

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The lines y = 2x − 11 and y = -31 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.
$2x - 11 = -31$
2
Add 11 to both sides:
$2x - 11 + 11 = -31 + 11 \ \Rightarrow\ 2x = -20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$2\cdot(-10) - 11 = -20 - 11 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 11 = -31\ \Rightarrow\ x = -10 \]
\[ 2x - 11 = -31 \]
\[ 2x - 11 + 11 = -31 + 11 \ \Rightarrow\ 2x = -20 \]
\[ \frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10 \]
\[ 2\cdot(-10) - 11 = -20 - 11 = -31 \checkmark \]

Trying values of x in 2x − 11 = −31

x	2x − 11	Equals -31?
-12	-35	no
-11	-33	no
-10	-31	yes
-9	-29	no
-8	-27	no

Questions

What is x in 2x − 11 = −31?

The solution of 2x − 11 = −31 is x = -10.

How do you solve 2x − 11 = −31?

Add 11 to 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 = -31, which is -31.

Solve 2x − 11 = −31

How to work it out

Trying values of x in 2x − 11 = −31

Questions

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