Solve 6x − 13 = −61

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 6x − 13 = −61

x	6x − 13	Equals -61?
-10	-73	no
-9	-67	no
-8	-61	yes
-7	-55	no
-6	-49	no

Questions

What is x in 6x − 13 = −61?

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

How do you solve 6x − 13 = −61?

Add 13 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) − 13 = -61, which is -61.

Solve 6x − 13 = −61

How to work it out

Trying values of x in 6x − 13 = −61

Questions

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