Solve 8x − 6 = 90

The solution of 8x − 6 = 90 is x = 12.

8x - 6 = 90\ \Rightarrow\ x = 12

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

The lines y = 8x − 6 and y = 90 meet at x = 12. 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.
$8x - 6 = 90$
2
Add 6 to both sides:
$8x - 6 + 6 = 90 + 6 \ \Rightarrow\ 8x = 96$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$8\cdot12 - 6 = 96 - 6 = 90 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 6 = 90\ \Rightarrow\ x = 12 \]
\[ 8x - 6 = 90 \]
\[ 8x - 6 + 6 = 90 + 6 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 - 6 = 96 - 6 = 90 \checkmark \]

Trying values of x in 8x − 6 = 90

x	8x − 6	Equals 90?
10	74	no
11	82	no
12	90	yes
13	98	no
14	106	no

Questions

What is x in 8x − 6 = 90?

The solution of 8x − 6 = 90 is x = 12.

How do you solve 8x − 6 = 90?

Add 6 to both sides to get 8x = 96, then divide both sides by 8 to get x = 12.

How do I check the answer?

Replace x by 12: 8(12) − 6 = 90, which is 90.

Solve 8x − 6 = 90

How to work it out

Trying values of x in 8x − 6 = 90

Questions

Similar equations