Solve 7x − 6 = 50

The solution of 7x − 6 = 50 is x = 8.

7x - 6 = 50\ \Rightarrow\ x = 8

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

The lines y = 7x − 6 and y = 50 meet at x = 8. 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.
$7x - 6 = 50$
2
Add 6 to both sides:
$7x - 6 + 6 = 50 + 6 \ \Rightarrow\ 7x = 56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$7\cdot8 - 6 = 56 - 6 = 50 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 50\ \Rightarrow\ x = 8 \]
\[ 7x - 6 = 50 \]
\[ 7x - 6 + 6 = 50 + 6 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 - 6 = 56 - 6 = 50 \checkmark \]

Trying values of x in 7x − 6 = 50

x	7x − 6	Equals 50?
6	36	no
7	43	no
8	50	yes
9	57	no
10	64	no

Questions

What is x in 7x − 6 = 50?

The solution of 7x − 6 = 50 is x = 8.

How do you solve 7x − 6 = 50?

Add 6 to both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) − 6 = 50, which is 50.

Solve 7x − 6 = 50

How to work it out

Trying values of x in 7x − 6 = 50

Questions

Similar equations