Solve 7x − 6 = −62

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

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

Explain it step by step in chat Make a short video of it

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

LaTeX source of the formulas on this page

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

Trying values of x in 7x − 6 = −62

x	7x − 6	Equals -62?
-10	-76	no
-9	-69	no
-8	-62	yes
-7	-55	no
-6	-48	no

Questions

What is x in 7x − 6 = −62?

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

How do you solve 7x − 6 = −62?

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

How do I check the answer?

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

Solve 7x − 6 = −62

How to work it out

Trying values of x in 7x − 6 = −62

Questions

Similar equations