Solve 8x − 2 = −34

The solution of 8x − 2 = −34 is x = -4.

8x - 2 = -34\ \Rightarrow\ x = -4

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The lines y = 8x − 2 and y = -34 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.
$8x - 2 = -34$
2
Add 2 to both sides:
$8x - 2 + 2 = -34 + 2 \ \Rightarrow\ 8x = -32$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$8\cdot(-4) - 2 = -32 - 2 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 2 = -34\ \Rightarrow\ x = -4 \]
\[ 8x - 2 = -34 \]
\[ 8x - 2 + 2 = -34 + 2 \ \Rightarrow\ 8x = -32 \]
\[ \frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4 \]
\[ 8\cdot(-4) - 2 = -32 - 2 = -34 \checkmark \]

Trying values of x in 8x − 2 = −34

x	8x − 2	Equals -34?
-6	-50	no
-5	-42	no
-4	-34	yes
-3	-26	no
-2	-18	no

Questions

What is x in 8x − 2 = −34?

The solution of 8x − 2 = −34 is x = -4.

How do you solve 8x − 2 = −34?

Add 2 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) − 2 = -34, which is -34.

Solve 8x − 2 = −34

How to work it out

Trying values of x in 8x − 2 = −34

Questions

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