Solve 7x − 11 = −60

The solution of 7x − 11 = −60 is x = -7.

7x - 11 = -60\ \Rightarrow\ x = -7

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The lines y = 7x − 11 and y = -60 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.
$7x - 11 = -60$
2
Add 11 to both sides:
$7x - 11 + 11 = -60 + 11 \ \Rightarrow\ 7x = -49$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-49}{7} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$7\cdot(-7) - 11 = -49 - 11 = -60 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 11 = -60\ \Rightarrow\ x = -7 \]
\[ 7x - 11 = -60 \]
\[ 7x - 11 + 11 = -60 + 11 \ \Rightarrow\ 7x = -49 \]
\[ \frac{7x}{7} = \frac{-49}{7} \ \Rightarrow\ x = -7 \]
\[ 7\cdot(-7) - 11 = -49 - 11 = -60 \checkmark \]

Trying values of x in 7x − 11 = −60

x	7x − 11	Equals -60?
-9	-74	no
-8	-67	no
-7	-60	yes
-6	-53	no
-5	-46	no

Questions

What is x in 7x − 11 = −60?

The solution of 7x − 11 = −60 is x = -7.

How do you solve 7x − 11 = −60?

Add 11 to both sides to get 7x = -49, then divide both sides by 7 to get x = -7.

How do I check the answer?

Replace x by -7: 7(-7) − 11 = -60, which is -60.

Solve 7x − 11 = −60

How to work it out

Trying values of x in 7x − 11 = −60

Questions

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