Solve 6x + 6 = −12

The solution of 6x + 6 = −12 is x = -3.

6x + 6 = -12\ \Rightarrow\ x = -3

Explain it step by step in chat Make a short video of it

The lines y = 6x + 6 and y = -12 meet at x = -3. 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 addition, then the multiplication.
$6x + 6 = -12$
2
Subtract 6 from both sides:
$6x + 6 - 6 = -12 - 6 \ \Rightarrow\ 6x = -18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$6\cdot(-3) + 6 = -18 + 6 = -12 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 6 = -12\ \Rightarrow\ x = -3 \]
\[ 6x + 6 = -12 \]
\[ 6x + 6 - 6 = -12 - 6 \ \Rightarrow\ 6x = -18 \]
\[ \frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3 \]
\[ 6\cdot(-3) + 6 = -18 + 6 = -12 \checkmark \]

Trying values of x in 6x + 6 = −12

x	6x + 6	Equals -12?
-5	-24	no
-4	-18	no
-3	-12	yes
-2	-6	no
-1	0	no

Questions

What is x in 6x + 6 = −12?

The solution of 6x + 6 = −12 is x = -3.

How do you solve 6x + 6 = −12?

Subtract 6 from both sides to get 6x = -18, then divide both sides by 6 to get x = -3.

How do I check the answer?

Replace x by -3: 6(-3) + 6 = -12, which is -12.

Solve 6x + 6 = −12

How to work it out

Trying values of x in 6x + 6 = −12

Questions

Similar equations