Solve 8x + 7 = −33

The solution of 8x + 7 = −33 is x = -5.

8x + 7 = -33\ \Rightarrow\ x = -5

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

The lines y = 8x + 7 and y = -33 meet at x = -5. 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.
$8x + 7 = -33$
2
Subtract 7 from both sides:
$8x + 7 - 7 = -33 - 7 \ \Rightarrow\ 8x = -40$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$8\cdot(-5) + 7 = -40 + 7 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 7 = -33\ \Rightarrow\ x = -5 \]
\[ 8x + 7 = -33 \]
\[ 8x + 7 - 7 = -33 - 7 \ \Rightarrow\ 8x = -40 \]
\[ \frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5 \]
\[ 8\cdot(-5) + 7 = -40 + 7 = -33 \checkmark \]

Trying values of x in 8x + 7 = −33

x	8x + 7	Equals -33?
-7	-49	no
-6	-41	no
-5	-33	yes
-4	-25	no
-3	-17	no

Questions

What is x in 8x + 7 = −33?

The solution of 8x + 7 = −33 is x = -5.

How do you solve 8x + 7 = −33?

Subtract 7 from both sides to get 8x = -40, then divide both sides by 8 to get x = -5.

How do I check the answer?

Replace x by -5: 8(-5) + 7 = -33, which is -33.

Solve 8x + 7 = −33

How to work it out

Trying values of x in 8x + 7 = −33

Questions

Similar equations