Solve 8x − 13 = −61

The solution of 8x − 13 = −61 is x = -6.

8x - 13 = -61\ \Rightarrow\ x = -6

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The lines y = 8x − 13 and y = -61 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.
$8x - 13 = -61$
2
Add 13 to both sides:
$8x - 13 + 13 = -61 + 13 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) - 13 = -48 - 13 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 13 = -61\ \Rightarrow\ x = -6 \]
\[ 8x - 13 = -61 \]
\[ 8x - 13 + 13 = -61 + 13 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) - 13 = -48 - 13 = -61 \checkmark \]

Trying values of x in 8x − 13 = −61

x	8x − 13	Equals -61?
-8	-77	no
-7	-69	no
-6	-61	yes
-5	-53	no
-4	-45	no

Questions

What is x in 8x − 13 = −61?

The solution of 8x − 13 = −61 is x = -6.

How do you solve 8x − 13 = −61?

Add 13 to both sides to get 8x = -48, then divide both sides by 8 to get x = -6.

How do I check the answer?

Replace x by -6: 8(-6) − 13 = -61, which is -61.

Solve 8x − 13 = −61

How to work it out

Trying values of x in 8x − 13 = −61

Questions

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