Solve 6x − 5 = −53

The solution of 6x − 5 = −53 is x = -8.

6x - 5 = -53\ \Rightarrow\ x = -8

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The lines y = 6x − 5 and y = -53 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.
$6x - 5 = -53$
2
Add 5 to both sides:
$6x - 5 + 5 = -53 + 5 \ \Rightarrow\ 6x = -48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$6\cdot(-8) - 5 = -48 - 5 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = -53\ \Rightarrow\ x = -8 \]
\[ 6x - 5 = -53 \]
\[ 6x - 5 + 5 = -53 + 5 \ \Rightarrow\ 6x = -48 \]
\[ \frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8 \]
\[ 6\cdot(-8) - 5 = -48 - 5 = -53 \checkmark \]

Trying values of x in 6x − 5 = −53

x	6x − 5	Equals -53?
-10	-65	no
-9	-59	no
-8	-53	yes
-7	-47	no
-6	-41	no

Questions

What is x in 6x − 5 = −53?

The solution of 6x − 5 = −53 is x = -8.

How do you solve 6x − 5 = −53?

Add 5 to both sides to get 6x = -48, then divide both sides by 6 to get x = -8.

How do I check the answer?

Replace x by -8: 6(-8) − 5 = -53, which is -53.

Solve 6x − 5 = −53

How to work it out

Trying values of x in 6x − 5 = −53

Questions

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