Solve 12x − 5 = 19

The solution of 12x − 5 = 19 is x = 2.

12x - 5 = 19\ \Rightarrow\ x = 2

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The lines y = 12x − 5 and y = 19 meet at x = 2. 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.
$12x - 5 = 19$
2
Add 5 to both sides:
$12x - 5 + 5 = 19 + 5 \ \Rightarrow\ 12x = 24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$12\cdot2 - 5 = 24 - 5 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 5 = 19\ \Rightarrow\ x = 2 \]
\[ 12x - 5 = 19 \]
\[ 12x - 5 + 5 = 19 + 5 \ \Rightarrow\ 12x = 24 \]
\[ \frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2 \]
\[ 12\cdot2 - 5 = 24 - 5 = 19 \checkmark \]

Trying values of x in 12x − 5 = 19

x	12x − 5	Equals 19?
0	-5	no
1	7	no
2	19	yes
3	31	no
4	43	no

Questions

What is x in 12x − 5 = 19?

The solution of 12x − 5 = 19 is x = 2.

How do you solve 12x − 5 = 19?

Add 5 to both sides to get 12x = 24, then divide both sides by 12 to get x = 2.

How do I check the answer?

Replace x by 2: 12(2) − 5 = 19, which is 19.

Solve 12x − 5 = 19

How to work it out

Trying values of x in 12x − 5 = 19

Questions

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