Solve 5x − 7 = 53

The solution of 5x − 7 = 53 is x = 12.

5x - 7 = 53\ \Rightarrow\ x = 12

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The lines y = 5x − 7 and y = 53 meet at x = 12. 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.
$5x - 7 = 53$
2
Add 7 to both sides:
$5x - 7 + 7 = 53 + 7 \ \Rightarrow\ 5x = 60$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{60}{5} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$5\cdot12 - 7 = 60 - 7 = 53 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 7 = 53\ \Rightarrow\ x = 12 \]
\[ 5x - 7 = 53 \]
\[ 5x - 7 + 7 = 53 + 7 \ \Rightarrow\ 5x = 60 \]
\[ \frac{5x}{5} = \frac{60}{5} \ \Rightarrow\ x = 12 \]
\[ 5\cdot12 - 7 = 60 - 7 = 53 \checkmark \]

Trying values of x in 5x − 7 = 53

x	5x − 7	Equals 53?
10	43	no
11	48	no
12	53	yes
13	58	no
14	63	no

Questions

What is x in 5x − 7 = 53?

The solution of 5x − 7 = 53 is x = 12.

How do you solve 5x − 7 = 53?

Add 7 to both sides to get 5x = 60, then divide both sides by 5 to get x = 12.

How do I check the answer?

Replace x by 12: 5(12) − 7 = 53, which is 53.

Solve 5x − 7 = 53

How to work it out

Trying values of x in 5x − 7 = 53

Questions

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