Solve 4x + 4 = −28

The solution of 4x + 4 = −28 is x = -8.

4x + 4 = -28\ \Rightarrow\ x = -8

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

The lines y = 4x + 4 and y = -28 meet at x = -8. 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.
$4x + 4 = -28$
2
Subtract 4 from both sides:
$4x + 4 - 4 = -28 - 4 \ \Rightarrow\ 4x = -32$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-32}{4} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$4\cdot(-8) + 4 = -32 + 4 = -28 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 4 = -28\ \Rightarrow\ x = -8 \]
\[ 4x + 4 = -28 \]
\[ 4x + 4 - 4 = -28 - 4 \ \Rightarrow\ 4x = -32 \]
\[ \frac{4x}{4} = \frac{-32}{4} \ \Rightarrow\ x = -8 \]
\[ 4\cdot(-8) + 4 = -32 + 4 = -28 \checkmark \]

Trying values of x in 4x + 4 = −28

x	4x + 4	Equals -28?
-10	-36	no
-9	-32	no
-8	-28	yes
-7	-24	no
-6	-20	no

Questions

What is x in 4x + 4 = −28?

The solution of 4x + 4 = −28 is x = -8.

How do you solve 4x + 4 = −28?

Subtract 4 from both sides to get 4x = -32, then divide both sides by 4 to get x = -8.

How do I check the answer?

Replace x by -8: 4(-8) + 4 = -28, which is -28.

Solve 4x + 4 = −28

How to work it out

Trying values of x in 4x + 4 = −28

Questions

Similar equations