Solve 10x − 15 = 125

The solution of 10x − 15 = 125 is x = 14.

10x - 15 = 125\ \Rightarrow\ x = 14

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

The lines y = 10x − 15 and y = 125 meet at x = 14. 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.
$10x - 15 = 125$
2
Add 15 to both sides:
$10x - 15 + 15 = 125 + 15 \ \Rightarrow\ 10x = 140$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{140}{10} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$10\cdot14 - 15 = 140 - 15 = 125 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 15 = 125\ \Rightarrow\ x = 14 \]
\[ 10x - 15 = 125 \]
\[ 10x - 15 + 15 = 125 + 15 \ \Rightarrow\ 10x = 140 \]
\[ \frac{10x}{10} = \frac{140}{10} \ \Rightarrow\ x = 14 \]
\[ 10\cdot14 - 15 = 140 - 15 = 125 \checkmark \]

Trying values of x in 10x − 15 = 125

x	10x − 15	Equals 125?
12	105	no
13	115	no
14	125	yes
15	135	no
16	145	no

Questions

What is x in 10x − 15 = 125?

The solution of 10x − 15 = 125 is x = 14.

How do you solve 10x − 15 = 125?

Add 15 to both sides to get 10x = 140, then divide both sides by 10 to get x = 14.

How do I check the answer?

Replace x by 14: 10(14) − 15 = 125, which is 125.

Solve 10x − 15 = 125

How to work it out

Trying values of x in 10x − 15 = 125

Questions

Similar equations