Solve 8x − 12 = −44

The solution of 8x − 12 = −44 is x = -4.

8x - 12 = -44\ \Rightarrow\ x = -4

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The lines y = 8x − 12 and y = -44 meet at x = -4. 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.
$8x - 12 = -44$
2
Add 12 to both sides:
$8x - 12 + 12 = -44 + 12 \ \Rightarrow\ 8x = -32$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$8\cdot(-4) - 12 = -32 - 12 = -44 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 12 = -44\ \Rightarrow\ x = -4 \]
\[ 8x - 12 = -44 \]
\[ 8x - 12 + 12 = -44 + 12 \ \Rightarrow\ 8x = -32 \]
\[ \frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4 \]
\[ 8\cdot(-4) - 12 = -32 - 12 = -44 \checkmark \]

Trying values of x in 8x − 12 = −44

x	8x − 12	Equals -44?
-6	-60	no
-5	-52	no
-4	-44	yes
-3	-36	no
-2	-28	no

Questions

What is x in 8x − 12 = −44?

The solution of 8x − 12 = −44 is x = -4.

How do you solve 8x − 12 = −44?

Add 12 to both sides to get 8x = -32, then divide both sides by 8 to get x = -4.

How do I check the answer?

Replace x by -4: 8(-4) − 12 = -44, which is -44.

Solve 8x − 12 = −44

How to work it out

Trying values of x in 8x − 12 = −44

Questions

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