Solve 5x − 14 = −24

The solution of 5x − 14 = −24 is x = -2.

5x - 14 = -24\ \Rightarrow\ x = -2

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

The lines y = 5x − 14 and y = -24 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.
$5x - 14 = -24$
2
Add 14 to both sides:
$5x - 14 + 14 = -24 + 14 \ \Rightarrow\ 5x = -10$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$5\cdot(-2) - 14 = -10 - 14 = -24 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 14 = -24\ \Rightarrow\ x = -2 \]
\[ 5x - 14 = -24 \]
\[ 5x - 14 + 14 = -24 + 14 \ \Rightarrow\ 5x = -10 \]
\[ \frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2 \]
\[ 5\cdot(-2) - 14 = -10 - 14 = -24 \checkmark \]

Trying values of x in 5x − 14 = −24

x	5x − 14	Equals -24?
-4	-34	no
-3	-29	no
-2	-24	yes
-1	-19	no
0	-14	no

Questions

What is x in 5x − 14 = −24?

The solution of 5x − 14 = −24 is x = -2.

How do you solve 5x − 14 = −24?

Add 14 to both sides to get 5x = -10, then divide both sides by 5 to get x = -2.

How do I check the answer?

Replace x by -2: 5(-2) − 14 = -24, which is -24.

Solve 5x − 14 = −24

How to work it out

Trying values of x in 5x − 14 = −24

Questions

Similar equations