Solve 10x − 15 = 5

The solution of 10x − 15 = 5 is x = 2.

10x - 15 = 5\ \Rightarrow\ x = 2

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

The lines y = 10x − 15 and y = 5 meet at x = 2. 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.
$10x - 15 = 5$
2
Add 15 to both sides:
$10x - 15 + 15 = 5 + 15 \ \Rightarrow\ 10x = 20$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{20}{10} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$10\cdot2 - 15 = 20 - 15 = 5 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 15 = 5\ \Rightarrow\ x = 2 \]
\[ 10x - 15 = 5 \]
\[ 10x - 15 + 15 = 5 + 15 \ \Rightarrow\ 10x = 20 \]
\[ \frac{10x}{10} = \frac{20}{10} \ \Rightarrow\ x = 2 \]
\[ 10\cdot2 - 15 = 20 - 15 = 5 \checkmark \]

Trying values of x in 10x − 15 = 5

x	10x − 15	Equals 5?
0	-15	no
1	-5	no
2	5	yes
3	15	no
4	25	no

Questions

What is x in 10x − 15 = 5?

The solution of 10x − 15 = 5 is x = 2.

How do you solve 10x − 15 = 5?

Add 15 to both sides to get 10x = 20, then divide both sides by 10 to get x = 2.

How do I check the answer?

Replace x by 2: 10(2) − 15 = 5, which is 5.

Solve 10x − 15 = 5

How to work it out

Trying values of x in 10x − 15 = 5

Questions

Similar equations