Solve 2x − 2 = 4

The solution of 2x − 2 = 4 is x = 3.

2x - 2 = 4\ \Rightarrow\ x = 3

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

The lines y = 2x − 2 and y = 4 meet at x = 3. 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.
$2x - 2 = 4$
2
Add 2 to both sides:
$2x - 2 + 2 = 4 + 2 \ \Rightarrow\ 2x = 6$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$2\cdot3 - 2 = 6 - 2 = 4 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 2 = 4\ \Rightarrow\ x = 3 \]
\[ 2x - 2 = 4 \]
\[ 2x - 2 + 2 = 4 + 2 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 - 2 = 6 - 2 = 4 \checkmark \]

Trying values of x in 2x − 2 = 4

x	2x − 2	Equals 4?
1	0	no
2	2	no
3	4	yes
4	6	no
5	8	no

Questions

What is x in 2x − 2 = 4?

The solution of 2x − 2 = 4 is x = 3.

How do you solve 2x − 2 = 4?

Add 2 to both sides to get 2x = 6, then divide both sides by 2 to get x = 3.

How do I check the answer?

Replace x by 3: 2(3) − 2 = 4, which is 4.

Solve 2x − 2 = 4

How to work it out

Trying values of x in 2x − 2 = 4

Questions

Similar equations