Solve 5x − 7 = 93

The solution of 5x − 7 = 93 is x = 20.

5x - 7 = 93\ \Rightarrow\ x = 20

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The lines y = 5x − 7 and y = 93 meet at x = 20. 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.
$5x - 7 = 93$
2
Add 7 to both sides:
$5x - 7 + 7 = 93 + 7 \ \Rightarrow\ 5x = 100$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$5\cdot20 - 7 = 100 - 7 = 93 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 7 = 93\ \Rightarrow\ x = 20 \]
\[ 5x - 7 = 93 \]
\[ 5x - 7 + 7 = 93 + 7 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 - 7 = 100 - 7 = 93 \checkmark \]

Trying values of x in 5x − 7 = 93

x	5x − 7	Equals 93?
18	83	no
19	88	no
20	93	yes
21	98	no
22	103	no

Questions

What is x in 5x − 7 = 93?

The solution of 5x − 7 = 93 is x = 20.

How do you solve 5x − 7 = 93?

Add 7 to both sides to get 5x = 100, then divide both sides by 5 to get x = 20.

How do I check the answer?

Replace x by 20: 5(20) − 7 = 93, which is 93.

Solve 5x − 7 = 93

How to work it out

Trying values of x in 5x − 7 = 93

Questions

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