Solve 2x − 8 = 6

The solution of 2x − 8 = 6 is x = 7.

2x - 8 = 6\ \Rightarrow\ x = 7

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The lines y = 2x − 8 and y = 6 meet at x = 7. 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.
$2x - 8 = 6$
2
Add 8 to both sides:
$2x - 8 + 8 = 6 + 8 \ \Rightarrow\ 2x = 14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$2\cdot7 - 8 = 14 - 8 = 6 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 8 = 6\ \Rightarrow\ x = 7 \]
\[ 2x - 8 = 6 \]
\[ 2x - 8 + 8 = 6 + 8 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 - 8 = 14 - 8 = 6 \checkmark \]

Trying values of x in 2x − 8 = 6

x	2x − 8	Equals 6?
5	2	no
6	4	no
7	6	yes
8	8	no
9	10	no

Questions

What is x in 2x − 8 = 6?

The solution of 2x − 8 = 6 is x = 7.

How do you solve 2x − 8 = 6?

Add 8 to both sides to get 2x = 14, then divide both sides by 2 to get x = 7.

How do I check the answer?

Replace x by 7: 2(7) − 8 = 6, which is 6.

Solve 2x − 8 = 6

How to work it out

Trying values of x in 2x − 8 = 6

Questions

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