Solve 4x − 11 = −19

The solution of 4x − 11 = −19 is x = -2.

4x - 11 = -19\ \Rightarrow\ x = -2

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

The lines y = 4x − 11 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.
$4x - 11 = -19$
2
Add 11 to both sides:
$4x - 11 + 11 = -19 + 11 \ \Rightarrow\ 4x = -8$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$4\cdot(-2) - 11 = -8 - 11 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = -19\ \Rightarrow\ x = -2 \]
\[ 4x - 11 = -19 \]
\[ 4x - 11 + 11 = -19 + 11 \ \Rightarrow\ 4x = -8 \]
\[ \frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2 \]
\[ 4\cdot(-2) - 11 = -8 - 11 = -19 \checkmark \]

Trying values of x in 4x − 11 = −19

x	4x − 11	Equals -19?
-4	-27	no
-3	-23	no
-2	-19	yes
-1	-15	no
0	-11	no

Questions

What is x in 4x − 11 = −19?

The solution of 4x − 11 = −19 is x = -2.

How do you solve 4x − 11 = −19?

Add 11 to both sides to get 4x = -8, then divide both sides by 4 to get x = -2.

How do I check the answer?

Replace x by -2: 4(-2) − 11 = -19, which is -19.

Solve 4x − 11 = −19

How to work it out

Trying values of x in 4x − 11 = −19

Questions

Similar equations