Solve 7x − 7 = 49

The solution of 7x − 7 = 49 is x = 8.

7x - 7 = 49\ \Rightarrow\ x = 8

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The lines y = 7x − 7 and y = 49 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.
$7x - 7 = 49$
2
Add 7 to both sides:
$7x - 7 + 7 = 49 + 7 \ \Rightarrow\ 7x = 56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$7\cdot8 - 7 = 56 - 7 = 49 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 7 = 49\ \Rightarrow\ x = 8 \]
\[ 7x - 7 = 49 \]
\[ 7x - 7 + 7 = 49 + 7 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 - 7 = 56 - 7 = 49 \checkmark \]

Trying values of x in 7x − 7 = 49

x	7x − 7	Equals 49?
6	35	no
7	42	no
8	49	yes
9	56	no
10	63	no

Questions

What is x in 7x − 7 = 49?

The solution of 7x − 7 = 49 is x = 8.

How do you solve 7x − 7 = 49?

Add 7 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) − 7 = 49, which is 49.

Solve 7x − 7 = 49

How to work it out

Trying values of x in 7x − 7 = 49

Questions

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