Solve 6x − 12 = −54

The solution of 6x − 12 = −54 is x = -7.

6x - 12 = -54\ \Rightarrow\ x = -7

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The lines y = 6x − 12 and y = -54 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.
$6x - 12 = -54$
2
Add 12 to both sides:
$6x - 12 + 12 = -54 + 12 \ \Rightarrow\ 6x = -42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$6\cdot(-7) - 12 = -42 - 12 = -54 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 12 = -54\ \Rightarrow\ x = -7 \]
\[ 6x - 12 = -54 \]
\[ 6x - 12 + 12 = -54 + 12 \ \Rightarrow\ 6x = -42 \]
\[ \frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7 \]
\[ 6\cdot(-7) - 12 = -42 - 12 = -54 \checkmark \]

Trying values of x in 6x − 12 = −54

x	6x − 12	Equals -54?
-9	-66	no
-8	-60	no
-7	-54	yes
-6	-48	no
-5	-42	no

Questions

What is x in 6x − 12 = −54?

The solution of 6x − 12 = −54 is x = -7.

How do you solve 6x − 12 = −54?

Add 12 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) − 12 = -54, which is -54.

Solve 6x − 12 = −54

How to work it out

Trying values of x in 6x − 12 = −54

Questions

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