Solve 10x − 13 = 157

The solution of 10x − 13 = 157 is x = 17.

10x - 13 = 157\ \Rightarrow\ x = 17

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The lines y = 10x − 13 and y = 157 meet at x = 17. 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.
$10x - 13 = 157$
2
Add 13 to both sides:
$10x - 13 + 13 = 157 + 13 \ \Rightarrow\ 10x = 170$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$10\cdot17 - 13 = 170 - 13 = 157 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 157\ \Rightarrow\ x = 17 \]
\[ 10x - 13 = 157 \]
\[ 10x - 13 + 13 = 157 + 13 \ \Rightarrow\ 10x = 170 \]
\[ \frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17 \]
\[ 10\cdot17 - 13 = 170 - 13 = 157 \checkmark \]

Trying values of x in 10x − 13 = 157

x	10x − 13	Equals 157?
15	137	no
16	147	no
17	157	yes
18	167	no
19	177	no

Questions

What is x in 10x − 13 = 157?

The solution of 10x − 13 = 157 is x = 17.

How do you solve 10x − 13 = 157?

Add 13 to both sides to get 10x = 170, then divide both sides by 10 to get x = 17.

How do I check the answer?

Replace x by 17: 10(17) − 13 = 157, which is 157.

Solve 10x − 13 = 157

How to work it out

Trying values of x in 10x − 13 = 157

Questions

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