Solve 7x − 13 = 50

The solution of 7x − 13 = 50 is x = 9.

7x - 13 = 50\ \Rightarrow\ x = 9

Explain it step by step in chat Make a short video of it

The lines y = 7x − 13 and y = 50 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.
$7x - 13 = 50$
2
Add 13 to both sides:
$7x - 13 + 13 = 50 + 13 \ \Rightarrow\ 7x = 63$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$7\cdot9 - 13 = 63 - 13 = 50 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 13 = 50\ \Rightarrow\ x = 9 \]
\[ 7x - 13 = 50 \]
\[ 7x - 13 + 13 = 50 + 13 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 - 13 = 63 - 13 = 50 \checkmark \]

Trying values of x in 7x − 13 = 50

x	7x − 13	Equals 50?
7	36	no
8	43	no
9	50	yes
10	57	no
11	64	no

Questions

What is x in 7x − 13 = 50?

The solution of 7x − 13 = 50 is x = 9.

How do you solve 7x − 13 = 50?

Add 13 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) − 13 = 50, which is 50.

Solve 7x − 13 = 50

How to work it out

Trying values of x in 7x − 13 = 50

Questions

Similar equations