Solve 7x − 11 = 52

The solution of 7x − 11 = 52 is x = 9.

7x - 11 = 52\ \Rightarrow\ x = 9

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The lines y = 7x − 11 and y = 52 meet at x = 9. 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.
$7x - 11 = 52$
2
Add 11 to both sides:
$7x - 11 + 11 = 52 + 11 \ \Rightarrow\ 7x = 63$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$7\cdot9 - 11 = 63 - 11 = 52 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 11 = 52\ \Rightarrow\ x = 9 \]
\[ 7x - 11 = 52 \]
\[ 7x - 11 + 11 = 52 + 11 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 - 11 = 63 - 11 = 52 \checkmark \]

Trying values of x in 7x − 11 = 52

x	7x − 11	Equals 52?
7	38	no
8	45	no
9	52	yes
10	59	no
11	66	no

Questions

What is x in 7x − 11 = 52?

The solution of 7x − 11 = 52 is x = 9.

How do you solve 7x − 11 = 52?

Add 11 to both sides to get 7x = 63, then divide both sides by 7 to get x = 9.

How do I check the answer?

Replace x by 9: 7(9) − 11 = 52, which is 52.

Solve 7x − 11 = 52

How to work it out

Trying values of x in 7x − 11 = 52

Questions

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