Solve 10x − 13 = 137

The solution of 10x − 13 = 137 is x = 15.

10x - 13 = 137\ \Rightarrow\ x = 15

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The lines y = 10x − 13 and y = 137 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.
$10x - 13 = 137$
2
Add 13 to both sides:
$10x - 13 + 13 = 137 + 13 \ \Rightarrow\ 10x = 150$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$10\cdot15 - 13 = 150 - 13 = 137 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 137\ \Rightarrow\ x = 15 \]
\[ 10x - 13 = 137 \]
\[ 10x - 13 + 13 = 137 + 13 \ \Rightarrow\ 10x = 150 \]
\[ \frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15 \]
\[ 10\cdot15 - 13 = 150 - 13 = 137 \checkmark \]

Trying values of x in 10x − 13 = 137

x	10x − 13	Equals 137?
13	117	no
14	127	no
15	137	yes
16	147	no
17	157	no

Questions

What is x in 10x − 13 = 137?

The solution of 10x − 13 = 137 is x = 15.

How do you solve 10x − 13 = 137?

Add 13 to both sides to get 10x = 150, then divide both sides by 10 to get x = 15.

How do I check the answer?

Replace x by 15: 10(15) − 13 = 137, which is 137.

Solve 10x − 13 = 137

How to work it out

Trying values of x in 10x − 13 = 137

Questions

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