Solve 6x − 11 = −53

The solution of 6x − 11 = −53 is x = -7.

6x - 11 = -53\ \Rightarrow\ x = -7

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

The lines y = 6x − 11 and y = -53 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.
$6x - 11 = -53$
2
Add 11 to both sides:
$6x - 11 + 11 = -53 + 11 \ \Rightarrow\ 6x = -42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$6\cdot(-7) - 11 = -42 - 11 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = -53\ \Rightarrow\ x = -7 \]
\[ 6x - 11 = -53 \]
\[ 6x - 11 + 11 = -53 + 11 \ \Rightarrow\ 6x = -42 \]
\[ \frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7 \]
\[ 6\cdot(-7) - 11 = -42 - 11 = -53 \checkmark \]

Trying values of x in 6x − 11 = −53

x	6x − 11	Equals -53?
-9	-65	no
-8	-59	no
-7	-53	yes
-6	-47	no
-5	-41	no

Questions

What is x in 6x − 11 = −53?

The solution of 6x − 11 = −53 is x = -7.

How do you solve 6x − 11 = −53?

Add 11 to both sides to get 6x = -42, then divide both sides by 6 to get x = -7.

How do I check the answer?

Replace x by -7: 6(-7) − 11 = -53, which is -53.

Solve 6x − 11 = −53

How to work it out

Trying values of x in 6x − 11 = −53

Questions

Similar equations