Solve 12x − 15 = 93

The solution of 12x − 15 = 93 is x = 9.

12x - 15 = 93\ \Rightarrow\ x = 9

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The lines y = 12x − 15 and y = 93 meet at x = 9. 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.
$12x - 15 = 93$
2
Add 15 to both sides:
$12x - 15 + 15 = 93 + 15 \ \Rightarrow\ 12x = 108$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$12\cdot9 - 15 = 108 - 15 = 93 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 15 = 93\ \Rightarrow\ x = 9 \]
\[ 12x - 15 = 93 \]
\[ 12x - 15 + 15 = 93 + 15 \ \Rightarrow\ 12x = 108 \]
\[ \frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9 \]
\[ 12\cdot9 - 15 = 108 - 15 = 93 \checkmark \]

Trying values of x in 12x − 15 = 93

x	12x − 15	Equals 93?
7	69	no
8	81	no
9	93	yes
10	105	no
11	117	no

Questions

What is x in 12x − 15 = 93?

The solution of 12x − 15 = 93 is x = 9.

How do you solve 12x − 15 = 93?

Add 15 to both sides to get 12x = 108, then divide both sides by 12 to get x = 9.

How do I check the answer?

Replace x by 9: 12(9) − 15 = 93, which is 93.

Solve 12x − 15 = 93

How to work it out

Trying values of x in 12x − 15 = 93

Questions

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