Solve 2x − 5 = 33

The solution of 2x − 5 = 33 is x = 19.

2x - 5 = 33\ \Rightarrow\ x = 19

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The lines y = 2x − 5 and y = 33 meet at x = 19. 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.
$2x - 5 = 33$
2
Add 5 to both sides:
$2x - 5 + 5 = 33 + 5 \ \Rightarrow\ 2x = 38$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$2\cdot19 - 5 = 38 - 5 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 5 = 33\ \Rightarrow\ x = 19 \]
\[ 2x - 5 = 33 \]
\[ 2x - 5 + 5 = 33 + 5 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 - 5 = 38 - 5 = 33 \checkmark \]

Trying values of x in 2x − 5 = 33

x	2x − 5	Equals 33?
17	29	no
18	31	no
19	33	yes
20	35	no
21	37	no

Questions

What is x in 2x − 5 = 33?

The solution of 2x − 5 = 33 is x = 19.

How do you solve 2x − 5 = 33?

Add 5 to both sides to get 2x = 38, then divide both sides by 2 to get x = 19.

How do I check the answer?

Replace x by 19: 2(19) − 5 = 33, which is 33.

Solve 2x − 5 = 33

How to work it out

Trying values of x in 2x − 5 = 33

Questions

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