Solve 2x − 2 = 10

The solution of 2x − 2 = 10 is x = 6.

2x - 2 = 10\ \Rightarrow\ x = 6

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The lines y = 2x − 2 and y = 10 meet at x = 6. 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.
$2x - 2 = 10$
2
Add 2 to both sides:
$2x - 2 + 2 = 10 + 2 \ \Rightarrow\ 2x = 12$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$2\cdot6 - 2 = 12 - 2 = 10 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 2 = 10\ \Rightarrow\ x = 6 \]
\[ 2x - 2 = 10 \]
\[ 2x - 2 + 2 = 10 + 2 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 - 2 = 12 - 2 = 10 \checkmark \]

Trying values of x in 2x − 2 = 10

x	2x − 2	Equals 10?
4	6	no
5	8	no
6	10	yes
7	12	no
8	14	no

Questions

What is x in 2x − 2 = 10?

The solution of 2x − 2 = 10 is x = 6.

How do you solve 2x − 2 = 10?

Add 2 to both sides to get 2x = 12, then divide both sides by 2 to get x = 6.

How do I check the answer?

Replace x by 6: 2(6) − 2 = 10, which is 10.

Solve 2x − 2 = 10

How to work it out

Trying values of x in 2x − 2 = 10

Questions

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