Solve 6x − 3 = 3

The solution of 6x − 3 = 3 is x = 1.

6x - 3 = 3\ \Rightarrow\ x = 1

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

The lines y = 6x − 3 and y = 3 meet at x = 1. 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.
$6x - 3 = 3$
2
Add 3 to both sides:
$6x - 3 + 3 = 3 + 3 \ \Rightarrow\ 6x = 6$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$6\cdot1 - 3 = 6 - 3 = 3 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = 3\ \Rightarrow\ x = 1 \]
\[ 6x - 3 = 3 \]
\[ 6x - 3 + 3 = 3 + 3 \ \Rightarrow\ 6x = 6 \]
\[ \frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1 \]
\[ 6\cdot1 - 3 = 6 - 3 = 3 \checkmark \]

Trying values of x in 6x − 3 = 3

x	6x − 3	Equals 3?
-1	-9	no
0	-3	no
1	3	yes
2	9	no
3	15	no

Questions

What is x in 6x − 3 = 3?

The solution of 6x − 3 = 3 is x = 1.

How do you solve 6x − 3 = 3?

Add 3 to both sides to get 6x = 6, then divide both sides by 6 to get x = 1.

How do I check the answer?

Replace x by 1: 6(1) − 3 = 3, which is 3.

Solve 6x − 3 = 3

How to work it out

Trying values of x in 6x − 3 = 3

Questions

Similar equations