Solve 2x − 3 = 13

The solution of 2x − 3 = 13 is x = 8.

2x - 3 = 13\ \Rightarrow\ x = 8

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The lines y = 2x − 3 and y = 13 meet at x = 8. 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.
$2x - 3 = 13$
2
Add 3 to both sides:
$2x - 3 + 3 = 13 + 3 \ \Rightarrow\ 2x = 16$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$2\cdot8 - 3 = 16 - 3 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 3 = 13\ \Rightarrow\ x = 8 \]
\[ 2x - 3 = 13 \]
\[ 2x - 3 + 3 = 13 + 3 \ \Rightarrow\ 2x = 16 \]
\[ \frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8 \]
\[ 2\cdot8 - 3 = 16 - 3 = 13 \checkmark \]

Trying values of x in 2x − 3 = 13

x	2x − 3	Equals 13?
6	9	no
7	11	no
8	13	yes
9	15	no
10	17	no

Questions

What is x in 2x − 3 = 13?

The solution of 2x − 3 = 13 is x = 8.

How do you solve 2x − 3 = 13?

Add 3 to both sides to get 2x = 16, then divide both sides by 2 to get x = 8.

How do I check the answer?

Replace x by 8: 2(8) − 3 = 13, which is 13.

Solve 2x − 3 = 13

How to work it out

Trying values of x in 2x − 3 = 13

Questions

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