Solve 7x − 1 = 69

The solution of 7x − 1 = 69 is x = 10.

7x - 1 = 69\ \Rightarrow\ x = 10

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The lines y = 7x − 1 and y = 69 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.
$7x - 1 = 69$
2
Add 1 to both sides:
$7x - 1 + 1 = 69 + 1 \ \Rightarrow\ 7x = 70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$7\cdot10 - 1 = 70 - 1 = 69 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 1 = 69\ \Rightarrow\ x = 10 \]
\[ 7x - 1 = 69 \]
\[ 7x - 1 + 1 = 69 + 1 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 - 1 = 70 - 1 = 69 \checkmark \]

Trying values of x in 7x − 1 = 69

x	7x − 1	Equals 69?
8	55	no
9	62	no
10	69	yes
11	76	no
12	83	no

Questions

What is x in 7x − 1 = 69?

The solution of 7x − 1 = 69 is x = 10.

How do you solve 7x − 1 = 69?

Add 1 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) − 1 = 69, which is 69.

Solve 7x − 1 = 69

How to work it out

Trying values of x in 7x − 1 = 69

Questions

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