Solve 12x + 8 = −88

The solution of 12x + 8 = −88 is x = -8.

12x + 8 = -88\ \Rightarrow\ x = -8

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

The lines y = 12x + 8 and y = -88 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.
$12x + 8 = -88$
2
Subtract 8 from both sides:
$12x + 8 - 8 = -88 - 8 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) + 8 = -96 + 8 = -88 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 8 = -88\ \Rightarrow\ x = -8 \]
\[ 12x + 8 = -88 \]
\[ 12x + 8 - 8 = -88 - 8 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) + 8 = -96 + 8 = -88 \checkmark \]

Trying values of x in 12x + 8 = −88

x	12x + 8	Equals -88?
-10	-112	no
-9	-100	no
-8	-88	yes
-7	-76	no
-6	-64	no

Questions

What is x in 12x + 8 = −88?

The solution of 12x + 8 = −88 is x = -8.

How do you solve 12x + 8 = −88?

Subtract 8 from both sides to get 12x = -96, then divide both sides by 12 to get x = -8.

How do I check the answer?

Replace x by -8: 12(-8) + 8 = -88, which is -88.

Solve 12x + 8 = −88

How to work it out

Trying values of x in 12x + 8 = −88

Questions

Similar equations