Solve 8x − 2 = −50

The solution of 8x − 2 = −50 is x = -6.

8x - 2 = -50\ \Rightarrow\ x = -6

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The lines y = 8x − 2 and y = -50 meet at x = -6. 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.
$8x - 2 = -50$
2
Add 2 to both sides:
$8x - 2 + 2 = -50 + 2 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) - 2 = -48 - 2 = -50 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 2 = -50\ \Rightarrow\ x = -6 \]
\[ 8x - 2 = -50 \]
\[ 8x - 2 + 2 = -50 + 2 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) - 2 = -48 - 2 = -50 \checkmark \]

Trying values of x in 8x − 2 = −50

x	8x − 2	Equals -50?
-8	-66	no
-7	-58	no
-6	-50	yes
-5	-42	no
-4	-34	no

Questions

What is x in 8x − 2 = −50?

The solution of 8x − 2 = −50 is x = -6.

How do you solve 8x − 2 = −50?

Add 2 to both sides to get 8x = -48, then divide both sides by 8 to get x = -6.

How do I check the answer?

Replace x by -6: 8(-6) − 2 = -50, which is -50.

Solve 8x − 2 = −50

How to work it out

Trying values of x in 8x − 2 = −50

Questions

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