Solve 7x − 6 = −55

The solution of 7x − 6 = −55 is x = -7.

7x - 6 = -55\ \Rightarrow\ x = -7

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

The lines y = 7x − 6 and y = -55 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.
$7x - 6 = -55$
2
Add 6 to both sides:
$7x - 6 + 6 = -55 + 6 \ \Rightarrow\ 7x = -49$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-49}{7} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$7\cdot(-7) - 6 = -49 - 6 = -55 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = -55\ \Rightarrow\ x = -7 \]
\[ 7x - 6 = -55 \]
\[ 7x - 6 + 6 = -55 + 6 \ \Rightarrow\ 7x = -49 \]
\[ \frac{7x}{7} = \frac{-49}{7} \ \Rightarrow\ x = -7 \]
\[ 7\cdot(-7) - 6 = -49 - 6 = -55 \checkmark \]

Trying values of x in 7x − 6 = −55

x	7x − 6	Equals -55?
-9	-69	no
-8	-62	no
-7	-55	yes
-6	-48	no
-5	-41	no

Questions

What is x in 7x − 6 = −55?

The solution of 7x − 6 = −55 is x = -7.

How do you solve 7x − 6 = −55?

Add 6 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) − 6 = -55, which is -55.

Solve 7x − 6 = −55

How to work it out

Trying values of x in 7x − 6 = −55

Questions

Similar equations