Solve 8x − 6 = 74

The solution of 8x − 6 = 74 is x = 10.

8x - 6 = 74\ \Rightarrow\ x = 10

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

The lines y = 8x − 6 and y = 74 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.
$8x - 6 = 74$
2
Add 6 to both sides:
$8x - 6 + 6 = 74 + 6 \ \Rightarrow\ 8x = 80$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$8\cdot10 - 6 = 80 - 6 = 74 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 6 = 74\ \Rightarrow\ x = 10 \]
\[ 8x - 6 = 74 \]
\[ 8x - 6 + 6 = 74 + 6 \ \Rightarrow\ 8x = 80 \]
\[ \frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10 \]
\[ 8\cdot10 - 6 = 80 - 6 = 74 \checkmark \]

Trying values of x in 8x − 6 = 74

x	8x − 6	Equals 74?
8	58	no
9	66	no
10	74	yes
11	82	no
12	90	no

Questions

What is x in 8x − 6 = 74?

The solution of 8x − 6 = 74 is x = 10.

How do you solve 8x − 6 = 74?

Add 6 to both sides to get 8x = 80, then divide both sides by 8 to get x = 10.

How do I check the answer?

Replace x by 10: 8(10) − 6 = 74, which is 74.

Solve 8x − 6 = 74

How to work it out

Trying values of x in 8x − 6 = 74

Questions

Similar equations