Solve 2x − 7 = 33

The solution of 2x − 7 = 33 is x = 20.

2x - 7 = 33\ \Rightarrow\ x = 20

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The lines y = 2x − 7 and y = 33 meet at x = 20. 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.
$2x - 7 = 33$
2
Add 7 to both sides:
$2x - 7 + 7 = 33 + 7 \ \Rightarrow\ 2x = 40$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{40}{2} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$2\cdot20 - 7 = 40 - 7 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 7 = 33\ \Rightarrow\ x = 20 \]
\[ 2x - 7 = 33 \]
\[ 2x - 7 + 7 = 33 + 7 \ \Rightarrow\ 2x = 40 \]
\[ \frac{2x}{2} = \frac{40}{2} \ \Rightarrow\ x = 20 \]
\[ 2\cdot20 - 7 = 40 - 7 = 33 \checkmark \]

Trying values of x in 2x − 7 = 33

x	2x − 7	Equals 33?
18	29	no
19	31	no
20	33	yes
21	35	no
22	37	no

Questions

What is x in 2x − 7 = 33?

The solution of 2x − 7 = 33 is x = 20.

How do you solve 2x − 7 = 33?

Add 7 to both sides to get 2x = 40, then divide both sides by 2 to get x = 20.

How do I check the answer?

Replace x by 20: 2(20) − 7 = 33, which is 33.

Solve 2x − 7 = 33

How to work it out

Trying values of x in 2x − 7 = 33

Questions

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