Solve 12x − 14 = −50

The solution of 12x − 14 = −50 is x = -3.

12x - 14 = -50\ \Rightarrow\ x = -3

Explain it step by step in chat Make a short video of it

The lines y = 12x − 14 and y = -50 meet at x = -3. 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.
$12x - 14 = -50$
2
Add 14 to both sides:
$12x - 14 + 14 = -50 + 14 \ \Rightarrow\ 12x = -36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$12\cdot(-3) - 14 = -36 - 14 = -50 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = -50\ \Rightarrow\ x = -3 \]
\[ 12x - 14 = -50 \]
\[ 12x - 14 + 14 = -50 + 14 \ \Rightarrow\ 12x = -36 \]
\[ \frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3 \]
\[ 12\cdot(-3) - 14 = -36 - 14 = -50 \checkmark \]

Trying values of x in 12x − 14 = −50

x	12x − 14	Equals -50?
-5	-74	no
-4	-62	no
-3	-50	yes
-2	-38	no
-1	-26	no

Questions

What is x in 12x − 14 = −50?

The solution of 12x − 14 = −50 is x = -3.

How do you solve 12x − 14 = −50?

Add 14 to both sides to get 12x = -36, then divide both sides by 12 to get x = -3.

How do I check the answer?

Replace x by -3: 12(-3) − 14 = -50, which is -50.

Solve 12x − 14 = −50

How to work it out

Trying values of x in 12x − 14 = −50

Questions

Similar equations