Solve 10x − 14 = 116

The solution of 10x − 14 = 116 is x = 13.

10x - 14 = 116\ \Rightarrow\ x = 13

Explain it step by step in chat Make a short video of it

The lines y = 10x − 14 and y = 116 meet at x = 13. 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.
$10x - 14 = 116$
2
Add 14 to both sides:
$10x - 14 + 14 = 116 + 14 \ \Rightarrow\ 10x = 130$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$10\cdot13 - 14 = 130 - 14 = 116 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = 116\ \Rightarrow\ x = 13 \]
\[ 10x - 14 = 116 \]
\[ 10x - 14 + 14 = 116 + 14 \ \Rightarrow\ 10x = 130 \]
\[ \frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13 \]
\[ 10\cdot13 - 14 = 130 - 14 = 116 \checkmark \]

Trying values of x in 10x − 14 = 116

x	10x − 14	Equals 116?
11	96	no
12	106	no
13	116	yes
14	126	no
15	136	no

Questions

What is x in 10x − 14 = 116?

The solution of 10x − 14 = 116 is x = 13.

How do you solve 10x − 14 = 116?

Add 14 to both sides to get 10x = 130, then divide both sides by 10 to get x = 13.

How do I check the answer?

Replace x by 13: 10(13) − 14 = 116, which is 116.

Solve 10x − 14 = 116

How to work it out

Trying values of x in 10x − 14 = 116

Questions

Similar equations