Solve 12x − 3 = 57

The solution of 12x − 3 = 57 is x = 5.

12x - 3 = 57\ \Rightarrow\ x = 5

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The lines y = 12x − 3 and y = 57 meet at x = 5. 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.
$12x - 3 = 57$
2
Add 3 to both sides:
$12x - 3 + 3 = 57 + 3 \ \Rightarrow\ 12x = 60$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$12\cdot5 - 3 = 60 - 3 = 57 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 3 = 57\ \Rightarrow\ x = 5 \]
\[ 12x - 3 = 57 \]
\[ 12x - 3 + 3 = 57 + 3 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 - 3 = 60 - 3 = 57 \checkmark \]

Trying values of x in 12x − 3 = 57

x	12x − 3	Equals 57?
3	33	no
4	45	no
5	57	yes
6	69	no
7	81	no

Questions

What is x in 12x − 3 = 57?

The solution of 12x − 3 = 57 is x = 5.

How do you solve 12x − 3 = 57?

Add 3 to both sides to get 12x = 60, then divide both sides by 12 to get x = 5.

How do I check the answer?

Replace x by 5: 12(5) − 3 = 57, which is 57.

Solve 12x − 3 = 57

How to work it out

Trying values of x in 12x − 3 = 57

Questions

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