Solve 6x − 1 = −7

The solution of 6x − 1 = −7 is x = -1.

6x - 1 = -7\ \Rightarrow\ x = -1

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The lines y = 6x − 1 and y = -7 meet at x = -1. 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.
$6x - 1 = -7$
2
Add 1 to both sides:
$6x - 1 + 1 = -7 + 1 \ \Rightarrow\ 6x = -6$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$6\cdot(-1) - 1 = -6 - 1 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = -7\ \Rightarrow\ x = -1 \]
\[ 6x - 1 = -7 \]
\[ 6x - 1 + 1 = -7 + 1 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) - 1 = -6 - 1 = -7 \checkmark \]

Trying values of x in 6x − 1 = −7

x	6x − 1	Equals -7?
-3	-19	no
-2	-13	no
-1	-7	yes
0	-1	no
1	5	no

Questions

What is x in 6x − 1 = −7?

The solution of 6x − 1 = −7 is x = -1.

How do you solve 6x − 1 = −7?

Add 1 to both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) − 1 = -7, which is -7.

Solve 6x − 1 = −7

How to work it out

Trying values of x in 6x − 1 = −7

Questions

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