Solve 10x − 13 = 187

The solution of 10x − 13 = 187 is x = 20.

10x - 13 = 187\ \Rightarrow\ x = 20

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The lines y = 10x − 13 and y = 187 meet at x = 20. 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.
$10x - 13 = 187$
2
Add 13 to both sides:
$10x - 13 + 13 = 187 + 13 \ \Rightarrow\ 10x = 200$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$10\cdot20 - 13 = 200 - 13 = 187 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 187\ \Rightarrow\ x = 20 \]
\[ 10x - 13 = 187 \]
\[ 10x - 13 + 13 = 187 + 13 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 13 = 200 - 13 = 187 \checkmark \]

Trying values of x in 10x − 13 = 187

x	10x − 13	Equals 187?
18	167	no
19	177	no
20	187	yes
21	197	no
22	207	no

Questions

What is x in 10x − 13 = 187?

The solution of 10x − 13 = 187 is x = 20.

How do you solve 10x − 13 = 187?

Add 13 to both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) − 13 = 187, which is 187.

Solve 10x − 13 = 187

How to work it out

Trying values of x in 10x − 13 = 187

Questions

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