Solve 6x − 7 = −61

The solution of 6x − 7 = −61 is x = -9.

6x - 7 = -61\ \Rightarrow\ x = -9

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The lines y = 6x − 7 and y = -61 meet at x = -9. 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.
$6x - 7 = -61$
2
Add 7 to both sides:
$6x - 7 + 7 = -61 + 7 \ \Rightarrow\ 6x = -54$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$6\cdot(-9) - 7 = -54 - 7 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = -61\ \Rightarrow\ x = -9 \]
\[ 6x - 7 = -61 \]
\[ 6x - 7 + 7 = -61 + 7 \ \Rightarrow\ 6x = -54 \]
\[ \frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9 \]
\[ 6\cdot(-9) - 7 = -54 - 7 = -61 \checkmark \]

Trying values of x in 6x − 7 = −61

x	6x − 7	Equals -61?
-11	-73	no
-10	-67	no
-9	-61	yes
-8	-55	no
-7	-49	no

Questions

What is x in 6x − 7 = −61?

The solution of 6x − 7 = −61 is x = -9.

How do you solve 6x − 7 = −61?

Add 7 to both sides to get 6x = -54, then divide both sides by 6 to get x = -9.

How do I check the answer?

Replace x by -9: 6(-9) − 7 = -61, which is -61.

Solve 6x − 7 = −61

How to work it out

Trying values of x in 6x − 7 = −61

Questions

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