Solve 10x − 15 = 65

The solution of 10x − 15 = 65 is x = 8.

10x - 15 = 65\ \Rightarrow\ x = 8

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The lines y = 10x − 15 and y = 65 meet at x = 8. 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.
$10x - 15 = 65$
2
Add 15 to both sides:
$10x - 15 + 15 = 65 + 15 \ \Rightarrow\ 10x = 80$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$10\cdot8 - 15 = 80 - 15 = 65 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 15 = 65\ \Rightarrow\ x = 8 \]
\[ 10x - 15 = 65 \]
\[ 10x - 15 + 15 = 65 + 15 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 - 15 = 80 - 15 = 65 \checkmark \]

Trying values of x in 10x − 15 = 65

x	10x − 15	Equals 65?
6	45	no
7	55	no
8	65	yes
9	75	no
10	85	no

Questions

What is x in 10x − 15 = 65?

The solution of 10x − 15 = 65 is x = 8.

How do you solve 10x − 15 = 65?

Add 15 to both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) − 15 = 65, which is 65.

Solve 10x − 15 = 65

How to work it out

Trying values of x in 10x − 15 = 65

Questions

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