Solve 10x − 13 = 177

The solution of 10x − 13 = 177 is x = 19.

10x - 13 = 177\ \Rightarrow\ x = 19

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The lines y = 10x − 13 and y = 177 meet at x = 19. 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.
$10x - 13 = 177$
2
Add 13 to both sides:
$10x - 13 + 13 = 177 + 13 \ \Rightarrow\ 10x = 190$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$10\cdot19 - 13 = 190 - 13 = 177 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 177\ \Rightarrow\ x = 19 \]
\[ 10x - 13 = 177 \]
\[ 10x - 13 + 13 = 177 + 13 \ \Rightarrow\ 10x = 190 \]
\[ \frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19 \]
\[ 10\cdot19 - 13 = 190 - 13 = 177 \checkmark \]

Trying values of x in 10x − 13 = 177

x	10x − 13	Equals 177?
17	157	no
18	167	no
19	177	yes
20	187	no
21	197	no

Questions

What is x in 10x − 13 = 177?

The solution of 10x − 13 = 177 is x = 19.

How do you solve 10x − 13 = 177?

Add 13 to both sides to get 10x = 190, then divide both sides by 10 to get x = 19.

How do I check the answer?

Replace x by 19: 10(19) − 13 = 177, which is 177.

Solve 10x − 13 = 177

How to work it out

Trying values of x in 10x − 13 = 177

Questions

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