Solve 6x − 3 = 87

The solution of 6x − 3 = 87 is x = 15.

6x - 3 = 87\ \Rightarrow\ x = 15

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

The lines y = 6x − 3 and y = 87 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.
$6x - 3 = 87$
2
Add 3 to both sides:
$6x - 3 + 3 = 87 + 3 \ \Rightarrow\ 6x = 90$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$6\cdot15 - 3 = 90 - 3 = 87 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = 87\ \Rightarrow\ x = 15 \]
\[ 6x - 3 = 87 \]
\[ 6x - 3 + 3 = 87 + 3 \ \Rightarrow\ 6x = 90 \]
\[ \frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15 \]
\[ 6\cdot15 - 3 = 90 - 3 = 87 \checkmark \]

Trying values of x in 6x − 3 = 87

x	6x − 3	Equals 87?
13	75	no
14	81	no
15	87	yes
16	93	no
17	99	no

Questions

What is x in 6x − 3 = 87?

The solution of 6x − 3 = 87 is x = 15.

How do you solve 6x − 3 = 87?

Add 3 to both sides to get 6x = 90, then divide both sides by 6 to get x = 15.

How do I check the answer?

Replace x by 15: 6(15) − 3 = 87, which is 87.

Solve 6x − 3 = 87

How to work it out

Trying values of x in 6x − 3 = 87

Questions

Similar equations