Solve 10x − 13 = 147

The solution of 10x − 13 = 147 is x = 16.

10x - 13 = 147\ \Rightarrow\ x = 16

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The lines y = 10x − 13 and y = 147 meet at x = 16. 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.
$10x - 13 = 147$
2
Add 13 to both sides:
$10x - 13 + 13 = 147 + 13 \ \Rightarrow\ 10x = 160$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$10\cdot16 - 13 = 160 - 13 = 147 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 147\ \Rightarrow\ x = 16 \]
\[ 10x - 13 = 147 \]
\[ 10x - 13 + 13 = 147 + 13 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 - 13 = 160 - 13 = 147 \checkmark \]

Trying values of x in 10x − 13 = 147

x	10x − 13	Equals 147?
14	127	no
15	137	no
16	147	yes
17	157	no
18	167	no

Questions

What is x in 10x − 13 = 147?

The solution of 10x − 13 = 147 is x = 16.

How do you solve 10x − 13 = 147?

Add 13 to both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) − 13 = 147, which is 147.

Solve 10x − 13 = 147

How to work it out

Trying values of x in 10x − 13 = 147

Questions

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