Solve 5x − 14 = −19

The solution of 5x − 14 = −19 is x = -1.

5x - 14 = -19\ \Rightarrow\ x = -1

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

The lines y = 5x − 14 and y = -19 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.
$5x - 14 = -19$
2
Add 14 to both sides:
$5x - 14 + 14 = -19 + 14 \ \Rightarrow\ 5x = -5$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-5}{5} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$5\cdot(-1) - 14 = -5 - 14 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 14 = -19\ \Rightarrow\ x = -1 \]
\[ 5x - 14 = -19 \]
\[ 5x - 14 + 14 = -19 + 14 \ \Rightarrow\ 5x = -5 \]
\[ \frac{5x}{5} = \frac{-5}{5} \ \Rightarrow\ x = -1 \]
\[ 5\cdot(-1) - 14 = -5 - 14 = -19 \checkmark \]

Trying values of x in 5x − 14 = −19

x	5x − 14	Equals -19?
-3	-29	no
-2	-24	no
-1	-19	yes
0	-14	no
1	-9	no

Questions

What is x in 5x − 14 = −19?

The solution of 5x − 14 = −19 is x = -1.

How do you solve 5x − 14 = −19?

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 = -19, which is -19.

Solve 5x − 14 = −19

How to work it out

Trying values of x in 5x − 14 = −19

Questions

Similar equations