Solve 10x − 5 = 145

The solution of 10x − 5 = 145 is x = 15.

10x - 5 = 145\ \Rightarrow\ x = 15

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

The lines y = 10x − 5 and y = 145 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.
$10x - 5 = 145$
2
Add 5 to both sides:
$10x - 5 + 5 = 145 + 5 \ \Rightarrow\ 10x = 150$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$10\cdot15 - 5 = 150 - 5 = 145 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 5 = 145\ \Rightarrow\ x = 15 \]
\[ 10x - 5 = 145 \]
\[ 10x - 5 + 5 = 145 + 5 \ \Rightarrow\ 10x = 150 \]
\[ \frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15 \]
\[ 10\cdot15 - 5 = 150 - 5 = 145 \checkmark \]

Trying values of x in 10x − 5 = 145

x	10x − 5	Equals 145?
13	125	no
14	135	no
15	145	yes
16	155	no
17	165	no

Questions

What is x in 10x − 5 = 145?

The solution of 10x − 5 = 145 is x = 15.

How do you solve 10x − 5 = 145?

Add 5 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) − 5 = 145, which is 145.

Solve 10x − 5 = 145

How to work it out

Trying values of x in 10x − 5 = 145

Questions

Similar equations