Solve 2x − 2 = 8

The solution of 2x − 2 = 8 is x = 5.

2x - 2 = 8\ \Rightarrow\ x = 5

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The lines y = 2x − 2 and y = 8 meet at x = 5. 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.
$2x - 2 = 8$
2
Add 2 to both sides:
$2x - 2 + 2 = 8 + 2 \ \Rightarrow\ 2x = 10$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$2\cdot5 - 2 = 10 - 2 = 8 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 2 = 8\ \Rightarrow\ x = 5 \]
\[ 2x - 2 = 8 \]
\[ 2x - 2 + 2 = 8 + 2 \ \Rightarrow\ 2x = 10 \]
\[ \frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5 \]
\[ 2\cdot5 - 2 = 10 - 2 = 8 \checkmark \]

Trying values of x in 2x − 2 = 8

x	2x − 2	Equals 8?
3	4	no
4	6	no
5	8	yes
6	10	no
7	12	no

Questions

What is x in 2x − 2 = 8?

The solution of 2x − 2 = 8 is x = 5.

How do you solve 2x − 2 = 8?

Add 2 to both sides to get 2x = 10, then divide both sides by 2 to get x = 5.

How do I check the answer?

Replace x by 5: 2(5) − 2 = 8, which is 8.

Solve 2x − 2 = 8

How to work it out

Trying values of x in 2x − 2 = 8

Questions

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