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 subtraction, then the multiplication.
$7x - 11 = 31$
2
Add 11 to 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.
$7\cdot6 - 11 = 42 - 11 = 31 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 11 = 31\ \Rightarrow\ x = 6 \]
\[ 7x - 11 = 31 \]
\[ 7x - 11 + 11 = 31 + 11 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 - 11 = 42 - 11 = 31 \checkmark \]

Trying values of x in 7x − 11 = 31

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

Add 11 to 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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