Solve 10x − 14 = 166

The solution of 10x − 14 = 166 is x = 18.

10x - 14 = 166\ \Rightarrow\ x = 18

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

The lines y = 10x − 14 and y = 166 meet at x = 18. 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.
$10x - 14 = 166$
2
Add 14 to both sides:
$10x - 14 + 14 = 166 + 14 \ \Rightarrow\ 10x = 180$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$10\cdot18 - 14 = 180 - 14 = 166 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = 166\ \Rightarrow\ x = 18 \]
\[ 10x - 14 = 166 \]
\[ 10x - 14 + 14 = 166 + 14 \ \Rightarrow\ 10x = 180 \]
\[ \frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18 \]
\[ 10\cdot18 - 14 = 180 - 14 = 166 \checkmark \]

Trying values of x in 10x − 14 = 166

x	10x − 14	Equals 166?
16	146	no
17	156	no
18	166	yes
19	176	no
20	186	no

Questions

What is x in 10x − 14 = 166?

The solution of 10x − 14 = 166 is x = 18.

How do you solve 10x − 14 = 166?

Add 14 to both sides to get 10x = 180, then divide both sides by 10 to get x = 18.

How do I check the answer?

Replace x by 18: 10(18) − 14 = 166, which is 166.

Solve 10x − 14 = 166

How to work it out

Trying values of x in 10x − 14 = 166

Questions

Similar equations