Solve 8x − 12 = −52

The solution of 8x − 12 = −52 is x = -5.

8x - 12 = -52\ \Rightarrow\ x = -5

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The lines y = 8x − 12 and y = -52 meet at x = -5. 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.
$8x - 12 = -52$
2
Add 12 to both sides:
$8x - 12 + 12 = -52 + 12 \ \Rightarrow\ 8x = -40$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$8\cdot(-5) - 12 = -40 - 12 = -52 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 12 = -52\ \Rightarrow\ x = -5 \]
\[ 8x - 12 = -52 \]
\[ 8x - 12 + 12 = -52 + 12 \ \Rightarrow\ 8x = -40 \]
\[ \frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5 \]
\[ 8\cdot(-5) - 12 = -40 - 12 = -52 \checkmark \]

Trying values of x in 8x − 12 = −52

x	8x − 12	Equals -52?
-7	-68	no
-6	-60	no
-5	-52	yes
-4	-44	no
-3	-36	no

Questions

What is x in 8x − 12 = −52?

The solution of 8x − 12 = −52 is x = -5.

How do you solve 8x − 12 = −52?

Add 12 to both sides to get 8x = -40, then divide both sides by 8 to get x = -5.

How do I check the answer?

Replace x by -5: 8(-5) − 12 = -52, which is -52.

Solve 8x − 12 = −52

How to work it out

Trying values of x in 8x − 12 = −52

Questions

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