Solve 11x + 2 = −31

The solution of 11x + 2 = −31 is x = -3.

11x + 2 = -31\ \Rightarrow\ x = -3

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The lines y = 11x + 2 and y = -31 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.
$11x + 2 = -31$
2
Subtract 2 from both sides:
$11x + 2 - 2 = -31 - 2 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) + 2 = -33 + 2 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 2 = -31\ \Rightarrow\ x = -3 \]
\[ 11x + 2 = -31 \]
\[ 11x + 2 - 2 = -31 - 2 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) + 2 = -33 + 2 = -31 \checkmark \]

Trying values of x in 11x + 2 = −31

x	11x + 2	Equals -31?
-5	-53	no
-4	-42	no
-3	-31	yes
-2	-20	no
-1	-9	no

Questions

What is x in 11x + 2 = −31?

The solution of 11x + 2 = −31 is x = -3.

How do you solve 11x + 2 = −31?

Subtract 2 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) + 2 = -31, which is -31.

Solve 11x + 2 = −31

How to work it out

Trying values of x in 11x + 2 = −31

Questions

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