Solve 12x + 14 = −22

The solution of 12x + 14 = −22 is x = -3.

12x + 14 = -22\ \Rightarrow\ x = -3

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

The lines y = 12x + 14 and y = -22 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 addition, then the multiplication.
$12x + 14 = -22$
2
Subtract 14 from both sides:
$12x + 14 - 14 = -22 - 14 \ \Rightarrow\ 12x = -36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$12\cdot(-3) + 14 = -36 + 14 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 14 = -22\ \Rightarrow\ x = -3 \]
\[ 12x + 14 = -22 \]
\[ 12x + 14 - 14 = -22 - 14 \ \Rightarrow\ 12x = -36 \]
\[ \frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3 \]
\[ 12\cdot(-3) + 14 = -36 + 14 = -22 \checkmark \]

Trying values of x in 12x + 14 = −22

x	12x + 14	Equals -22?
-5	-46	no
-4	-34	no
-3	-22	yes
-2	-10	no
-1	2	no

Questions

What is x in 12x + 14 = −22?

The solution of 12x + 14 = −22 is x = -3.

How do you solve 12x + 14 = −22?

Subtract 14 from 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 = -22, which is -22.

Solve 12x + 14 = −22

How to work it out

Trying values of x in 12x + 14 = −22

Questions

Similar equations