Solve 8x − 6 = 98

The solution of 8x − 6 = 98 is x = 13.

8x - 6 = 98\ \Rightarrow\ x = 13

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

The lines y = 8x − 6 and y = 98 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 subtraction, then the multiplication.
$8x - 6 = 98$
2
Add 6 to both sides:
$8x - 6 + 6 = 98 + 6 \ \Rightarrow\ 8x = 104$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$8\cdot13 - 6 = 104 - 6 = 98 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 6 = 98\ \Rightarrow\ x = 13 \]
\[ 8x - 6 = 98 \]
\[ 8x - 6 + 6 = 98 + 6 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 - 6 = 104 - 6 = 98 \checkmark \]

Trying values of x in 8x − 6 = 98

x	8x − 6	Equals 98?
11	82	no
12	90	no
13	98	yes
14	106	no
15	114	no

Questions

What is x in 8x − 6 = 98?

The solution of 8x − 6 = 98 is x = 13.

How do you solve 8x − 6 = 98?

Add 6 to both sides to get 8x = 104, then divide both sides by 8 to get x = 13.

How do I check the answer?

Replace x by 13: 8(13) − 6 = 98, which is 98.

Solve 8x − 6 = 98

How to work it out

Trying values of x in 8x − 6 = 98

Questions

Similar equations