Solve 7x + 11 = −31

The solution of 7x + 11 = −31 is x = -6.

7x + 11 = -31\ \Rightarrow\ x = -6

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The lines y = 7x + 11 and y = -31 meet at x = -6. 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.
$7x + 11 = -31$
2
Subtract 11 from both sides:
$7x + 11 - 11 = -31 - 11 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) + 11 = -42 + 11 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 11 = -31\ \Rightarrow\ x = -6 \]
\[ 7x + 11 = -31 \]
\[ 7x + 11 - 11 = -31 - 11 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) + 11 = -42 + 11 = -31 \checkmark \]

Trying values of x in 7x + 11 = −31

x	7x + 11	Equals -31?
-8	-45	no
-7	-38	no
-6	-31	yes
-5	-24	no
-4	-17	no

Questions

What is x in 7x + 11 = −31?

The solution of 7x + 11 = −31 is x = -6.

How do you solve 7x + 11 = −31?

Subtract 11 from both sides to get 7x = -42, then divide both sides by 7 to get x = -6.

How do I check the answer?

Replace x by -6: 7(-6) + 11 = -31, which is -31.

Solve 7x + 11 = −31

How to work it out

Trying values of x in 7x + 11 = −31

Questions

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