Solve 8x + 6 = −42

The solution of 8x + 6 = −42 is x = -6.

8x + 6 = -42\ \Rightarrow\ x = -6

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

The lines y = 8x + 6 and y = -42 meet at x = -6. 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.
$8x + 6 = -42$
2
Subtract 6 from both sides:
$8x + 6 - 6 = -42 - 6 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) + 6 = -48 + 6 = -42 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 6 = -42\ \Rightarrow\ x = -6 \]
\[ 8x + 6 = -42 \]
\[ 8x + 6 - 6 = -42 - 6 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) + 6 = -48 + 6 = -42 \checkmark \]

Trying values of x in 8x + 6 = −42

x	8x + 6	Equals -42?
-8	-58	no
-7	-50	no
-6	-42	yes
-5	-34	no
-4	-26	no

Questions

What is x in 8x + 6 = −42?

The solution of 8x + 6 = −42 is x = -6.

How do you solve 8x + 6 = −42?

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

How do I check the answer?

Replace x by -6: 8(-6) + 6 = -42, which is -42.

Solve 8x + 6 = −42

How to work it out

Trying values of x in 8x + 6 = −42

Questions

Similar equations