Solve 8x − 6 = −62

The solution of 8x − 6 = −62 is x = -7.

8x - 6 = -62\ \Rightarrow\ x = -7

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The lines y = 8x − 6 and y = -62 meet at x = -7. 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.
$8x - 6 = -62$
2
Add 6 to both sides:
$8x - 6 + 6 = -62 + 6 \ \Rightarrow\ 8x = -56$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-56}{8} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$8\cdot(-7) - 6 = -56 - 6 = -62 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 6 = -62\ \Rightarrow\ x = -7 \]
\[ 8x - 6 = -62 \]
\[ 8x - 6 + 6 = -62 + 6 \ \Rightarrow\ 8x = -56 \]
\[ \frac{8x}{8} = \frac{-56}{8} \ \Rightarrow\ x = -7 \]
\[ 8\cdot(-7) - 6 = -56 - 6 = -62 \checkmark \]

Trying values of x in 8x − 6 = −62

x	8x − 6	Equals -62?
-9	-78	no
-8	-70	no
-7	-62	yes
-6	-54	no
-5	-46	no

Questions

What is x in 8x − 6 = −62?

The solution of 8x − 6 = −62 is x = -7.

How do you solve 8x − 6 = −62?

Add 6 to both sides to get 8x = -56, then divide both sides by 8 to get x = -7.

How do I check the answer?

Replace x by -7: 8(-7) − 6 = -62, which is -62.

Solve 8x − 6 = −62

How to work it out

Trying values of x in 8x − 6 = −62

Questions

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