Solve 3x − 5 = 52

The solution of 3x − 5 = 52 is x = 19.

3x - 5 = 52\ \Rightarrow\ x = 19

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The lines y = 3x − 5 and y = 52 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.
$3x - 5 = 52$
2
Add 5 to both sides:
$3x - 5 + 5 = 52 + 5 \ \Rightarrow\ 3x = 57$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$3\cdot19 - 5 = 57 - 5 = 52 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 5 = 52\ \Rightarrow\ x = 19 \]
\[ 3x - 5 = 52 \]
\[ 3x - 5 + 5 = 52 + 5 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 - 5 = 57 - 5 = 52 \checkmark \]

Trying values of x in 3x − 5 = 52

x	3x − 5	Equals 52?
17	46	no
18	49	no
19	52	yes
20	55	no
21	58	no

Questions

What is x in 3x − 5 = 52?

The solution of 3x − 5 = 52 is x = 19.

How do you solve 3x − 5 = 52?

Add 5 to both sides to get 3x = 57, then divide both sides by 3 to get x = 19.

How do I check the answer?

Replace x by 19: 3(19) − 5 = 52, which is 52.

Solve 3x − 5 = 52

How to work it out

Trying values of x in 3x − 5 = 52

Questions

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