Solve 10x − 2 = 148

The solution of 10x − 2 = 148 is x = 15.

10x - 2 = 148\ \Rightarrow\ x = 15

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

The lines y = 10x − 2 and y = 148 meet at x = 15. 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.
$10x - 2 = 148$
2
Add 2 to both sides:
$10x - 2 + 2 = 148 + 2 \ \Rightarrow\ 10x = 150$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$10\cdot15 - 2 = 150 - 2 = 148 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = 148\ \Rightarrow\ x = 15 \]
\[ 10x - 2 = 148 \]
\[ 10x - 2 + 2 = 148 + 2 \ \Rightarrow\ 10x = 150 \]
\[ \frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15 \]
\[ 10\cdot15 - 2 = 150 - 2 = 148 \checkmark \]

Trying values of x in 10x − 2 = 148

x	10x − 2	Equals 148?
13	128	no
14	138	no
15	148	yes
16	158	no
17	168	no

Questions

What is x in 10x − 2 = 148?

The solution of 10x − 2 = 148 is x = 15.

How do you solve 10x − 2 = 148?

Add 2 to both sides to get 10x = 150, then divide both sides by 10 to get x = 15.

How do I check the answer?

Replace x by 15: 10(15) − 2 = 148, which is 148.

Solve 10x − 2 = 148

How to work it out

Trying values of x in 10x − 2 = 148

Questions

Similar equations