Solve 10x − 7 = 53

The solution of 10x − 7 = 53 is x = 6.

10x - 7 = 53\ \Rightarrow\ x = 6

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

The lines y = 10x − 7 and y = 53 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.
$10x - 7 = 53$
2
Add 7 to both sides:
$10x - 7 + 7 = 53 + 7 \ \Rightarrow\ 10x = 60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$10\cdot6 - 7 = 60 - 7 = 53 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 53\ \Rightarrow\ x = 6 \]
\[ 10x - 7 = 53 \]
\[ 10x - 7 + 7 = 53 + 7 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 - 7 = 60 - 7 = 53 \checkmark \]

Trying values of x in 10x − 7 = 53

x	10x − 7	Equals 53?
4	33	no
5	43	no
6	53	yes
7	63	no
8	73	no

Questions

What is x in 10x − 7 = 53?

The solution of 10x − 7 = 53 is x = 6.

How do you solve 10x − 7 = 53?

Add 7 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) − 7 = 53, which is 53.

Solve 10x − 7 = 53

How to work it out

Trying values of x in 10x − 7 = 53

Questions

Similar equations