Solve 5x − 14 = 61

The solution of 5x − 14 = 61 is x = 15.

5x - 14 = 61\ \Rightarrow\ x = 15

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The lines y = 5x − 14 and y = 61 meet at x = 15. 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.
$5x - 14 = 61$
2
Add 14 to both sides:
$5x - 14 + 14 = 61 + 14 \ \Rightarrow\ 5x = 75$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$5\cdot15 - 14 = 75 - 14 = 61 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 14 = 61\ \Rightarrow\ x = 15 \]
\[ 5x - 14 = 61 \]
\[ 5x - 14 + 14 = 61 + 14 \ \Rightarrow\ 5x = 75 \]
\[ \frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15 \]
\[ 5\cdot15 - 14 = 75 - 14 = 61 \checkmark \]

Trying values of x in 5x − 14 = 61

x	5x − 14	Equals 61?
13	51	no
14	56	no
15	61	yes
16	66	no
17	71	no

Questions

What is x in 5x − 14 = 61?

The solution of 5x − 14 = 61 is x = 15.

How do you solve 5x − 14 = 61?

Add 14 to both sides to get 5x = 75, then divide both sides by 5 to get x = 15.

How do I check the answer?

Replace x by 15: 5(15) − 14 = 61, which is 61.

Solve 5x − 14 = 61

How to work it out

Trying values of x in 5x − 14 = 61

Questions

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