Solve 4x + 4 = −24

The solution of 4x + 4 = −24 is x = -7.

4x + 4 = -24\ \Rightarrow\ x = -7

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

The lines y = 4x + 4 and y = -24 meet at x = -7. 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.
$4x + 4 = -24$
2
Subtract 4 from both sides:
$4x + 4 - 4 = -24 - 4 \ \Rightarrow\ 4x = -28$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-28}{4} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$4\cdot(-7) + 4 = -28 + 4 = -24 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 4 = -24\ \Rightarrow\ x = -7 \]
\[ 4x + 4 = -24 \]
\[ 4x + 4 - 4 = -24 - 4 \ \Rightarrow\ 4x = -28 \]
\[ \frac{4x}{4} = \frac{-28}{4} \ \Rightarrow\ x = -7 \]
\[ 4\cdot(-7) + 4 = -28 + 4 = -24 \checkmark \]

Trying values of x in 4x + 4 = −24

x	4x + 4	Equals -24?
-9	-32	no
-8	-28	no
-7	-24	yes
-6	-20	no
-5	-16	no

Questions

What is x in 4x + 4 = −24?

The solution of 4x + 4 = −24 is x = -7.

How do you solve 4x + 4 = −24?

Subtract 4 from both sides to get 4x = -28, then divide both sides by 4 to get x = -7.

How do I check the answer?

Replace x by -7: 4(-7) + 4 = -24, which is -24.

Solve 4x + 4 = −24

How to work it out

Trying values of x in 4x + 4 = −24

Questions

Similar equations