Solve 6x − 6 = −48

The solution of 6x − 6 = −48 is x = -7.

6x - 6 = -48\ \Rightarrow\ x = -7

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The lines y = 6x − 6 and y = -48 meet at x = -7. 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.
$6x - 6 = -48$
2
Add 6 to both sides:
$6x - 6 + 6 = -48 + 6 \ \Rightarrow\ 6x = -42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$6\cdot(-7) - 6 = -42 - 6 = -48 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 6 = -48\ \Rightarrow\ x = -7 \]
\[ 6x - 6 = -48 \]
\[ 6x - 6 + 6 = -48 + 6 \ \Rightarrow\ 6x = -42 \]
\[ \frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7 \]
\[ 6\cdot(-7) - 6 = -42 - 6 = -48 \checkmark \]

Trying values of x in 6x − 6 = −48

x	6x − 6	Equals -48?
-9	-60	no
-8	-54	no
-7	-48	yes
-6	-42	no
-5	-36	no

Questions

What is x in 6x − 6 = −48?

The solution of 6x − 6 = −48 is x = -7.

How do you solve 6x − 6 = −48?

Add 6 to both sides to get 6x = -42, then divide both sides by 6 to get x = -7.

How do I check the answer?

Replace x by -7: 6(-7) − 6 = -48, which is -48.

Solve 6x − 6 = −48

How to work it out

Trying values of x in 6x − 6 = −48

Questions

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