Solve 6x + 6 = −36

The solution of 6x + 6 = −36 is x = -7.

6x + 6 = -36\ \Rightarrow\ x = -7

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

The lines y = 6x + 6 and y = -36 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 addition, then the multiplication.
$6x + 6 = -36$
2
Subtract 6 from both sides:
$6x + 6 - 6 = -36 - 6 \ \Rightarrow\ 6x = -42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$6\cdot(-7) + 6 = -42 + 6 = -36 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 6 = -36\ \Rightarrow\ x = -7 \]
\[ 6x + 6 = -36 \]
\[ 6x + 6 - 6 = -36 - 6 \ \Rightarrow\ 6x = -42 \]
\[ \frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7 \]
\[ 6\cdot(-7) + 6 = -42 + 6 = -36 \checkmark \]

Trying values of x in 6x + 6 = −36

x	6x + 6	Equals -36?
-9	-48	no
-8	-42	no
-7	-36	yes
-6	-30	no
-5	-24	no

Questions

What is x in 6x + 6 = −36?

The solution of 6x + 6 = −36 is x = -7.

How do you solve 6x + 6 = −36?

Subtract 6 from 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 = -36, which is -36.

Solve 6x + 6 = −36

How to work it out

Trying values of x in 6x + 6 = −36

Questions

Similar equations