Solve 5x − 14 = −9

The solution of 5x − 14 = −9 is x = 1.

5x - 14 = -9\ \Rightarrow\ x = 1

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

The lines y = 5x − 14 and y = -9 meet at x = 1. 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.
$5x - 14 = -9$
2
Add 14 to both sides:
$5x - 14 + 14 = -9 + 14 \ \Rightarrow\ 5x = 5$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$5\cdot1 - 14 = 5 - 14 = -9 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 14 = -9\ \Rightarrow\ x = 1 \]
\[ 5x - 14 = -9 \]
\[ 5x - 14 + 14 = -9 + 14 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 - 14 = 5 - 14 = -9 \checkmark \]

Trying values of x in 5x − 14 = −9

x	5x − 14	Equals -9?
-1	-19	no
0	-14	no
1	-9	yes
2	-4	no
3	1	no

Questions

What is x in 5x − 14 = −9?

The solution of 5x − 14 = −9 is x = 1.

How do you solve 5x − 14 = −9?

Add 14 to both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) − 14 = -9, which is -9.

Solve 5x − 14 = −9

How to work it out

Trying values of x in 5x − 14 = −9

Questions

Similar equations