Solve 10x − 1 = 29

The solution of 10x − 1 = 29 is x = 3.

10x - 1 = 29\ \Rightarrow\ x = 3

Explain it step by step in chat Make a short video of it

The lines y = 10x − 1 and y = 29 meet at x = 3. 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.
$10x - 1 = 29$
2
Add 1 to both sides:
$10x - 1 + 1 = 29 + 1 \ \Rightarrow\ 10x = 30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$10\cdot3 - 1 = 30 - 1 = 29 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 1 = 29\ \Rightarrow\ x = 3 \]
\[ 10x - 1 = 29 \]
\[ 10x - 1 + 1 = 29 + 1 \ \Rightarrow\ 10x = 30 \]
\[ \frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3 \]
\[ 10\cdot3 - 1 = 30 - 1 = 29 \checkmark \]

Trying values of x in 10x − 1 = 29

x	10x − 1	Equals 29?
1	9	no
2	19	no
3	29	yes
4	39	no
5	49	no

Questions

What is x in 10x − 1 = 29?

The solution of 10x − 1 = 29 is x = 3.

How do you solve 10x − 1 = 29?

Add 1 to both sides to get 10x = 30, then divide both sides by 10 to get x = 3.

How do I check the answer?

Replace x by 3: 10(3) − 1 = 29, which is 29.

Solve 10x − 1 = 29

How to work it out

Trying values of x in 10x − 1 = 29

Questions

Similar equations