Solve 3x − 10 = 47

The solution of 3x − 10 = 47 is x = 19.

3x - 10 = 47\ \Rightarrow\ x = 19

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The lines y = 3x − 10 and y = 47 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.
$3x - 10 = 47$
2
Add 10 to both sides:
$3x - 10 + 10 = 47 + 10 \ \Rightarrow\ 3x = 57$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$3\cdot19 - 10 = 57 - 10 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 10 = 47\ \Rightarrow\ x = 19 \]
\[ 3x - 10 = 47 \]
\[ 3x - 10 + 10 = 47 + 10 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 - 10 = 57 - 10 = 47 \checkmark \]

Trying values of x in 3x − 10 = 47

x	3x − 10	Equals 47?
17	41	no
18	44	no
19	47	yes
20	50	no
21	53	no

Questions

What is x in 3x − 10 = 47?

The solution of 3x − 10 = 47 is x = 19.

How do you solve 3x − 10 = 47?

Add 10 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) − 10 = 47, which is 47.

Solve 3x − 10 = 47

How to work it out

Trying values of x in 3x − 10 = 47

Questions

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