Solve 6x − 15 = 45

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

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

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The lines y = 6x − 15 and y = 45 meet at x = 10. 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.
$6x - 15 = 45$
2
Add 15 to both sides:
$6x - 15 + 15 = 45 + 15 \ \Rightarrow\ 6x = 60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$6\cdot10 - 15 = 60 - 15 = 45 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 15 = 45\ \Rightarrow\ x = 10 \]
\[ 6x - 15 = 45 \]
\[ 6x - 15 + 15 = 45 + 15 \ \Rightarrow\ 6x = 60 \]
\[ \frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10 \]
\[ 6\cdot10 - 15 = 60 - 15 = 45 \checkmark \]

Trying values of x in 6x − 15 = 45

x	6x − 15	Equals 45?
8	33	no
9	39	no
10	45	yes
11	51	no
12	57	no

Questions

What is x in 6x − 15 = 45?

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

How do you solve 6x − 15 = 45?

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

How do I check the answer?

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

Solve 6x − 15 = 45

How to work it out

Trying values of x in 6x − 15 = 45

Questions

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