Solve 7x − 7 = −49

The solution of 7x − 7 = −49 is x = -6.

7x - 7 = -49\ \Rightarrow\ x = -6

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

The lines y = 7x − 7 and y = -49 meet at x = -6. 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.
$7x - 7 = -49$
2
Add 7 to both sides:
$7x - 7 + 7 = -49 + 7 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) - 7 = -42 - 7 = -49 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 7 = -49\ \Rightarrow\ x = -6 \]
\[ 7x - 7 = -49 \]
\[ 7x - 7 + 7 = -49 + 7 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) - 7 = -42 - 7 = -49 \checkmark \]

Trying values of x in 7x − 7 = −49

x	7x − 7	Equals -49?
-8	-63	no
-7	-56	no
-6	-49	yes
-5	-42	no
-4	-35	no

Questions

What is x in 7x − 7 = −49?

The solution of 7x − 7 = −49 is x = -6.

How do you solve 7x − 7 = −49?

Add 7 to both sides to get 7x = -42, then divide both sides by 7 to get x = -6.

How do I check the answer?

Replace x by -6: 7(-6) − 7 = -49, which is -49.

Solve 7x − 7 = −49

How to work it out

Trying values of x in 7x − 7 = −49

Questions

Similar equations