Solve 8x − 2 = 126

The solution of 8x − 2 = 126 is x = 16.

8x - 2 = 126\ \Rightarrow\ x = 16

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

The lines y = 8x − 2 and y = 126 meet at x = 16. 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.
$8x - 2 = 126$
2
Add 2 to both sides:
$8x - 2 + 2 = 126 + 2 \ \Rightarrow\ 8x = 128$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$8\cdot16 - 2 = 128 - 2 = 126 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 2 = 126\ \Rightarrow\ x = 16 \]
\[ 8x - 2 = 126 \]
\[ 8x - 2 + 2 = 126 + 2 \ \Rightarrow\ 8x = 128 \]
\[ \frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16 \]
\[ 8\cdot16 - 2 = 128 - 2 = 126 \checkmark \]

Trying values of x in 8x − 2 = 126

x	8x − 2	Equals 126?
14	110	no
15	118	no
16	126	yes
17	134	no
18	142	no

Questions

What is x in 8x − 2 = 126?

The solution of 8x − 2 = 126 is x = 16.

How do you solve 8x − 2 = 126?

Add 2 to both sides to get 8x = 128, then divide both sides by 8 to get x = 16.

How do I check the answer?

Replace x by 16: 8(16) − 2 = 126, which is 126.

Solve 8x − 2 = 126

How to work it out

Trying values of x in 8x − 2 = 126

Questions

Similar equations