Solve 10x − 15 = 45

The solution of 10x − 15 = 45 is x = 6.

10x - 15 = 45\ \Rightarrow\ x = 6

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

The lines y = 10x − 15 and y = 45 meet at x = 6. 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.
$10x - 15 = 45$
2
Add 15 to both sides:
$10x - 15 + 15 = 45 + 15 \ \Rightarrow\ 10x = 60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$10\cdot6 - 15 = 60 - 15 = 45 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 15 = 45\ \Rightarrow\ x = 6 \]
\[ 10x - 15 = 45 \]
\[ 10x - 15 + 15 = 45 + 15 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 - 15 = 60 - 15 = 45 \checkmark \]

Trying values of x in 10x − 15 = 45

x	10x − 15	Equals 45?
4	25	no
5	35	no
6	45	yes
7	55	no
8	65	no

Questions

What is x in 10x − 15 = 45?

The solution of 10x − 15 = 45 is x = 6.

How do you solve 10x − 15 = 45?

Add 15 to both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) − 15 = 45, which is 45.

Solve 10x − 15 = 45

How to work it out

Trying values of x in 10x − 15 = 45

Questions

Similar equations