Solve 6x − 2 = −62

The solution of 6x − 2 = −62 is x = -10.

6x - 2 = -62\ \Rightarrow\ x = -10

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The lines y = 6x − 2 and y = -62 meet at x = -10. 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.
$6x - 2 = -62$
2
Add 2 to both sides:
$6x - 2 + 2 = -62 + 2 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) - 2 = -60 - 2 = -62 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 2 = -62\ \Rightarrow\ x = -10 \]
\[ 6x - 2 = -62 \]
\[ 6x - 2 + 2 = -62 + 2 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) - 2 = -60 - 2 = -62 \checkmark \]

Trying values of x in 6x − 2 = −62

x	6x − 2	Equals -62?
-12	-74	no
-11	-68	no
-10	-62	yes
-9	-56	no
-8	-50	no

Questions

What is x in 6x − 2 = −62?

The solution of 6x − 2 = −62 is x = -10.

How do you solve 6x − 2 = −62?

Add 2 to both sides to get 6x = -60, then divide both sides by 6 to get x = -10.

How do I check the answer?

Replace x by -10: 6(-10) − 2 = -62, which is -62.

Solve 6x − 2 = −62

How to work it out

Trying values of x in 6x − 2 = −62

Questions

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