Solve 12x − 3 = 225

The solution of 12x − 3 = 225 is x = 19.

12x - 3 = 225\ \Rightarrow\ x = 19

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The lines y = 12x − 3 and y = 225 meet at x = 19. 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.
$12x - 3 = 225$
2
Add 3 to both sides:
$12x - 3 + 3 = 225 + 3 \ \Rightarrow\ 12x = 228$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$12\cdot19 - 3 = 228 - 3 = 225 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 3 = 225\ \Rightarrow\ x = 19 \]
\[ 12x - 3 = 225 \]
\[ 12x - 3 + 3 = 225 + 3 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 - 3 = 228 - 3 = 225 \checkmark \]

Trying values of x in 12x − 3 = 225

x	12x − 3	Equals 225?
17	201	no
18	213	no
19	225	yes
20	237	no
21	249	no

Questions

What is x in 12x − 3 = 225?

The solution of 12x − 3 = 225 is x = 19.

How do you solve 12x − 3 = 225?

Add 3 to both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) − 3 = 225, which is 225.

Solve 12x − 3 = 225

How to work it out

Trying values of x in 12x − 3 = 225

Questions

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