Solve 7x − 10 = −66

The solution of 7x − 10 = −66 is x = -8.

7x - 10 = -66\ \Rightarrow\ x = -8

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The lines y = 7x − 10 and y = -66 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.
$7x - 10 = -66$
2
Add 10 to both sides:
$7x - 10 + 10 = -66 + 10 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) - 10 = -56 - 10 = -66 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = -66\ \Rightarrow\ x = -8 \]
\[ 7x - 10 = -66 \]
\[ 7x - 10 + 10 = -66 + 10 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) - 10 = -56 - 10 = -66 \checkmark \]

Trying values of x in 7x − 10 = −66

x	7x − 10	Equals -66?
-10	-80	no
-9	-73	no
-8	-66	yes
-7	-59	no
-6	-52	no

Questions

What is x in 7x − 10 = −66?

The solution of 7x − 10 = −66 is x = -8.

How do you solve 7x − 10 = −66?

Add 10 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) − 10 = -66, which is -66.

Solve 7x − 10 = −66

How to work it out

Trying values of x in 7x − 10 = −66

Questions

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