Solve 2x − 7 = 23

The solution of 2x − 7 = 23 is x = 15.

2x - 7 = 23\ \Rightarrow\ x = 15

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The lines y = 2x − 7 and y = 23 meet at x = 15. 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.
$2x - 7 = 23$
2
Add 7 to both sides:
$2x - 7 + 7 = 23 + 7 \ \Rightarrow\ 2x = 30$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$2\cdot15 - 7 = 30 - 7 = 23 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 7 = 23\ \Rightarrow\ x = 15 \]
\[ 2x - 7 = 23 \]
\[ 2x - 7 + 7 = 23 + 7 \ \Rightarrow\ 2x = 30 \]
\[ \frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15 \]
\[ 2\cdot15 - 7 = 30 - 7 = 23 \checkmark \]

Trying values of x in 2x − 7 = 23

x	2x − 7	Equals 23?
13	19	no
14	21	no
15	23	yes
16	25	no
17	27	no

Questions

What is x in 2x − 7 = 23?

The solution of 2x − 7 = 23 is x = 15.

How do you solve 2x − 7 = 23?

Add 7 to both sides to get 2x = 30, then divide both sides by 2 to get x = 15.

How do I check the answer?

Replace x by 15: 2(15) − 7 = 23, which is 23.

Solve 2x − 7 = 23

How to work it out

Trying values of x in 2x − 7 = 23

Questions

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