Solve 10x − 13 = 167

The solution of 10x − 13 = 167 is x = 18.

10x - 13 = 167\ \Rightarrow\ x = 18

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The lines y = 10x − 13 and y = 167 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.
$10x - 13 = 167$
2
Add 13 to both sides:
$10x - 13 + 13 = 167 + 13 \ \Rightarrow\ 10x = 180$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$10\cdot18 - 13 = 180 - 13 = 167 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 167\ \Rightarrow\ x = 18 \]
\[ 10x - 13 = 167 \]
\[ 10x - 13 + 13 = 167 + 13 \ \Rightarrow\ 10x = 180 \]
\[ \frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18 \]
\[ 10\cdot18 - 13 = 180 - 13 = 167 \checkmark \]

Trying values of x in 10x − 13 = 167

x	10x − 13	Equals 167?
16	147	no
17	157	no
18	167	yes
19	177	no
20	187	no

Questions

What is x in 10x − 13 = 167?

The solution of 10x − 13 = 167 is x = 18.

How do you solve 10x − 13 = 167?

Add 13 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) − 13 = 167, which is 167.

Solve 10x − 13 = 167

How to work it out

Trying values of x in 10x − 13 = 167

Questions

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