Solve 10x − 1 = 59

The solution of 10x − 1 = 59 is x = 6.

10x - 1 = 59\ \Rightarrow\ x = 6

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The lines y = 10x − 1 and y = 59 meet at x = 6. 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.
$10x - 1 = 59$
2
Add 1 to both sides:
$10x - 1 + 1 = 59 + 1 \ \Rightarrow\ 10x = 60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$10\cdot6 - 1 = 60 - 1 = 59 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 1 = 59\ \Rightarrow\ x = 6 \]
\[ 10x - 1 = 59 \]
\[ 10x - 1 + 1 = 59 + 1 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 - 1 = 60 - 1 = 59 \checkmark \]

Trying values of x in 10x − 1 = 59

x	10x − 1	Equals 59?
4	39	no
5	49	no
6	59	yes
7	69	no
8	79	no

Questions

What is x in 10x − 1 = 59?

The solution of 10x − 1 = 59 is x = 6.

How do you solve 10x − 1 = 59?

Add 1 to both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) − 1 = 59, which is 59.

Solve 10x − 1 = 59

How to work it out

Trying values of x in 10x − 1 = 59

Questions

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