Solve 6x + 2 = −46

The solution of 6x + 2 = −46 is x = -8.

6x + 2 = -46\ \Rightarrow\ x = -8

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

The lines y = 6x + 2 and y = -46 meet at x = -8. 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.
$6x + 2 = -46$
2
Subtract 2 from both sides:
$6x + 2 - 2 = -46 - 2 \ \Rightarrow\ 6x = -48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$6\cdot(-8) + 2 = -48 + 2 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 2 = -46\ \Rightarrow\ x = -8 \]
\[ 6x + 2 = -46 \]
\[ 6x + 2 - 2 = -46 - 2 \ \Rightarrow\ 6x = -48 \]
\[ \frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8 \]
\[ 6\cdot(-8) + 2 = -48 + 2 = -46 \checkmark \]

Trying values of x in 6x + 2 = −46

x	6x + 2	Equals -46?
-10	-58	no
-9	-52	no
-8	-46	yes
-7	-40	no
-6	-34	no

Questions

What is x in 6x + 2 = −46?

The solution of 6x + 2 = −46 is x = -8.

How do you solve 6x + 2 = −46?

Subtract 2 from both sides to get 6x = -48, then divide both sides by 6 to get x = -8.

How do I check the answer?

Replace x by -8: 6(-8) + 2 = -46, which is -46.

Solve 6x + 2 = −46

How to work it out

Trying values of x in 6x + 2 = −46

Questions

Similar equations