Solve 7x − 5 = −19

The solution of 7x − 5 = −19 is x = -2.

7x - 5 = -19\ \Rightarrow\ x = -2

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

The lines y = 7x − 5 and y = -19 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.
$7x - 5 = -19$
2
Add 5 to both sides:
$7x - 5 + 5 = -19 + 5 \ \Rightarrow\ 7x = -14$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$7\cdot(-2) - 5 = -14 - 5 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 5 = -19\ \Rightarrow\ x = -2 \]
\[ 7x - 5 = -19 \]
\[ 7x - 5 + 5 = -19 + 5 \ \Rightarrow\ 7x = -14 \]
\[ \frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2 \]
\[ 7\cdot(-2) - 5 = -14 - 5 = -19 \checkmark \]

Trying values of x in 7x − 5 = −19

x	7x − 5	Equals -19?
-4	-33	no
-3	-26	no
-2	-19	yes
-1	-12	no
0	-5	no

Questions

What is x in 7x − 5 = −19?

The solution of 7x − 5 = −19 is x = -2.

How do you solve 7x − 5 = −19?

Add 5 to both sides to get 7x = -14, then divide both sides by 7 to get x = -2.

How do I check the answer?

Replace x by -2: 7(-2) − 5 = -19, which is -19.

Solve 7x − 5 = −19

How to work it out

Trying values of x in 7x − 5 = −19

Questions

Similar equations