Solve 8x − 13 = −53

The solution of 8x − 13 = −53 is x = -5.

8x - 13 = -53\ \Rightarrow\ x = -5

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The lines y = 8x − 13 and y = -53 meet at x = -5. 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.
$8x - 13 = -53$
2
Add 13 to both sides:
$8x - 13 + 13 = -53 + 13 \ \Rightarrow\ 8x = -40$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$8\cdot(-5) - 13 = -40 - 13 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 13 = -53\ \Rightarrow\ x = -5 \]
\[ 8x - 13 = -53 \]
\[ 8x - 13 + 13 = -53 + 13 \ \Rightarrow\ 8x = -40 \]
\[ \frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5 \]
\[ 8\cdot(-5) - 13 = -40 - 13 = -53 \checkmark \]

Trying values of x in 8x − 13 = −53

x	8x − 13	Equals -53?
-7	-69	no
-6	-61	no
-5	-53	yes
-4	-45	no
-3	-37	no

Questions

What is x in 8x − 13 = −53?

The solution of 8x − 13 = −53 is x = -5.

How do you solve 8x − 13 = −53?

Add 13 to both sides to get 8x = -40, then divide both sides by 8 to get x = -5.

How do I check the answer?

Replace x by -5: 8(-5) − 13 = -53, which is -53.

Solve 8x − 13 = −53

How to work it out

Trying values of x in 8x − 13 = −53

Questions

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