Solve 10x − 8 = 52

The solution of 10x − 8 = 52 is x = 6.

10x - 8 = 52\ \Rightarrow\ x = 6

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

The lines y = 10x − 8 and y = 52 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.
$10x - 8 = 52$
2
Add 8 to both sides:
$10x - 8 + 8 = 52 + 8 \ \Rightarrow\ 10x = 60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$10\cdot6 - 8 = 60 - 8 = 52 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 8 = 52\ \Rightarrow\ x = 6 \]
\[ 10x - 8 = 52 \]
\[ 10x - 8 + 8 = 52 + 8 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 - 8 = 60 - 8 = 52 \checkmark \]

Trying values of x in 10x − 8 = 52

x	10x − 8	Equals 52?
4	32	no
5	42	no
6	52	yes
7	62	no
8	72	no

Questions

What is x in 10x − 8 = 52?

The solution of 10x − 8 = 52 is x = 6.

How do you solve 10x − 8 = 52?

Add 8 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) − 8 = 52, which is 52.

Solve 10x − 8 = 52

How to work it out

Trying values of x in 10x − 8 = 52

Questions

Similar equations