Solve 4x + 8 = −16

The solution of 4x + 8 = −16 is x = -6.

4x + 8 = -16\ \Rightarrow\ x = -6

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

The lines y = 4x + 8 and y = -16 meet at x = -6. 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 addition, then the multiplication.
$4x + 8 = -16$
2
Subtract 8 from both sides:
$4x + 8 - 8 = -16 - 8 \ \Rightarrow\ 4x = -24$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-24}{4} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$4\cdot(-6) + 8 = -24 + 8 = -16 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 8 = -16\ \Rightarrow\ x = -6 \]
\[ 4x + 8 = -16 \]
\[ 4x + 8 - 8 = -16 - 8 \ \Rightarrow\ 4x = -24 \]
\[ \frac{4x}{4} = \frac{-24}{4} \ \Rightarrow\ x = -6 \]
\[ 4\cdot(-6) + 8 = -24 + 8 = -16 \checkmark \]

Trying values of x in 4x + 8 = −16

x	4x + 8	Equals -16?
-8	-24	no
-7	-20	no
-6	-16	yes
-5	-12	no
-4	-8	no

Questions

What is x in 4x + 8 = −16?

The solution of 4x + 8 = −16 is x = -6.

How do you solve 4x + 8 = −16?

Subtract 8 from both sides to get 4x = -24, then divide both sides by 4 to get x = -6.

How do I check the answer?

Replace x by -6: 4(-6) + 8 = -16, which is -16.

Solve 4x + 8 = −16

How to work it out

Trying values of x in 4x + 8 = −16

Questions

Similar equations