Solve 7x − 2 = 33

The solution of 7x − 2 = 33 is x = 5.

7x - 2 = 33\ \Rightarrow\ x = 5

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The lines y = 7x − 2 and y = 33 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.
$7x - 2 = 33$
2
Add 2 to both sides:
$7x - 2 + 2 = 33 + 2 \ \Rightarrow\ 7x = 35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$7\cdot5 - 2 = 35 - 2 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 2 = 33\ \Rightarrow\ x = 5 \]
\[ 7x - 2 = 33 \]
\[ 7x - 2 + 2 = 33 + 2 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 - 2 = 35 - 2 = 33 \checkmark \]

Trying values of x in 7x − 2 = 33

x	7x − 2	Equals 33?
3	19	no
4	26	no
5	33	yes
6	40	no
7	47	no

Questions

What is x in 7x − 2 = 33?

The solution of 7x − 2 = 33 is x = 5.

How do you solve 7x − 2 = 33?

Add 2 to both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) − 2 = 33, which is 33.

Solve 7x − 2 = 33

How to work it out

Trying values of x in 7x − 2 = 33

Questions

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