Solve 7x + 6 = 97

The solution of 7x + 6 = 97 is x = 13.

7x + 6 = 97\ \Rightarrow\ x = 13

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

The lines y = 7x + 6 and y = 97 meet at x = 13. 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 addition, then the multiplication.
$7x + 6 = 97$
2
Subtract 6 from both sides:
$7x + 6 - 6 = 97 - 6 \ \Rightarrow\ 7x = 91$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$7\cdot13 + 6 = 91 + 6 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 6 = 97\ \Rightarrow\ x = 13 \]
\[ 7x + 6 = 97 \]
\[ 7x + 6 - 6 = 97 - 6 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 6 = 91 + 6 = 97 \checkmark \]

Trying values of x in 7x + 6 = 97

x	7x + 6	Equals 97?
11	83	no
12	90	no
13	97	yes
14	104	no
15	111	no

Questions

What is x in 7x + 6 = 97?

The solution of 7x + 6 = 97 is x = 13.

How do you solve 7x + 6 = 97?

Subtract 6 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 6 = 97, which is 97.

Solve 7x + 6 = 97

How to work it out

Trying values of x in 7x + 6 = 97

Questions

Similar equations