Solve 2x − 7 = 3

The solution of 2x − 7 = 3 is x = 5.

2x - 7 = 3\ \Rightarrow\ x = 5

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The lines y = 2x − 7 and y = 3 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.
$2x - 7 = 3$
2
Add 7 to both sides:
$2x - 7 + 7 = 3 + 7 \ \Rightarrow\ 2x = 10$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$2\cdot5 - 7 = 10 - 7 = 3 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 7 = 3\ \Rightarrow\ x = 5 \]
\[ 2x - 7 = 3 \]
\[ 2x - 7 + 7 = 3 + 7 \ \Rightarrow\ 2x = 10 \]
\[ \frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5 \]
\[ 2\cdot5 - 7 = 10 - 7 = 3 \checkmark \]

Trying values of x in 2x − 7 = 3

x	2x − 7	Equals 3?
3	-1	no
4	1	no
5	3	yes
6	5	no
7	7	no

Questions

What is x in 2x − 7 = 3?

The solution of 2x − 7 = 3 is x = 5.

How do you solve 2x − 7 = 3?

Add 7 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) − 7 = 3, which is 3.

Solve 2x − 7 = 3

How to work it out

Trying values of x in 2x − 7 = 3

Questions

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