Solve 6x − 3 = 105

The solution of 6x − 3 = 105 is x = 18.

6x - 3 = 105\ \Rightarrow\ x = 18

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

The lines y = 6x − 3 and y = 105 meet at x = 18. 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.
$6x - 3 = 105$
2
Add 3 to both sides:
$6x - 3 + 3 = 105 + 3 \ \Rightarrow\ 6x = 108$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$6\cdot18 - 3 = 108 - 3 = 105 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = 105\ \Rightarrow\ x = 18 \]
\[ 6x - 3 = 105 \]
\[ 6x - 3 + 3 = 105 + 3 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 - 3 = 108 - 3 = 105 \checkmark \]

Trying values of x in 6x − 3 = 105

x	6x − 3	Equals 105?
16	93	no
17	99	no
18	105	yes
19	111	no
20	117	no

Questions

What is x in 6x − 3 = 105?

The solution of 6x − 3 = 105 is x = 18.

How do you solve 6x − 3 = 105?

Add 3 to both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) − 3 = 105, which is 105.

Solve 6x − 3 = 105

How to work it out

Trying values of x in 6x − 3 = 105

Questions

Similar equations