Solve 9x − 5 = 58

The solution of 9x − 5 = 58 is x = 7.

9x - 5 = 58\ \Rightarrow\ x = 7

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The lines y = 9x − 5 and y = 58 meet at x = 7. 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.
$9x - 5 = 58$
2
Add 5 to both sides:
$9x - 5 + 5 = 58 + 5 \ \Rightarrow\ 9x = 63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{63}{9} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$9\cdot7 - 5 = 63 - 5 = 58 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 5 = 58\ \Rightarrow\ x = 7 \]
\[ 9x - 5 = 58 \]
\[ 9x - 5 + 5 = 58 + 5 \ \Rightarrow\ 9x = 63 \]
\[ \frac{9x}{9} = \frac{63}{9} \ \Rightarrow\ x = 7 \]
\[ 9\cdot7 - 5 = 63 - 5 = 58 \checkmark \]

Trying values of x in 9x − 5 = 58

x	9x − 5	Equals 58?
5	40	no
6	49	no
7	58	yes
8	67	no
9	76	no

Questions

What is x in 9x − 5 = 58?

The solution of 9x − 5 = 58 is x = 7.

How do you solve 9x − 5 = 58?

Add 5 to both sides to get 9x = 63, then divide both sides by 9 to get x = 7.

How do I check the answer?

Replace x by 7: 9(7) − 5 = 58, which is 58.

Solve 9x − 5 = 58

How to work it out

Trying values of x in 9x − 5 = 58

Questions

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