Solve 7x − 6 = 64

The solution of 7x − 6 = 64 is x = 10.

7x - 6 = 64\ \Rightarrow\ x = 10

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

The lines y = 7x − 6 and y = 64 meet at x = 10. 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.
$7x - 6 = 64$
2
Add 6 to both sides:
$7x - 6 + 6 = 64 + 6 \ \Rightarrow\ 7x = 70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$7\cdot10 - 6 = 70 - 6 = 64 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 64\ \Rightarrow\ x = 10 \]
\[ 7x - 6 = 64 \]
\[ 7x - 6 + 6 = 64 + 6 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 - 6 = 70 - 6 = 64 \checkmark \]

Trying values of x in 7x − 6 = 64

x	7x − 6	Equals 64?
8	50	no
9	57	no
10	64	yes
11	71	no
12	78	no

Questions

What is x in 7x − 6 = 64?

The solution of 7x − 6 = 64 is x = 10.

How do you solve 7x − 6 = 64?

Add 6 to both sides to get 7x = 70, then divide both sides by 7 to get x = 10.

How do I check the answer?

Replace x by 10: 7(10) − 6 = 64, which is 64.

Solve 7x − 6 = 64

How to work it out

Trying values of x in 7x − 6 = 64

Questions

Similar equations