Solve 8x − 11 = −75

The solution of 8x − 11 = −75 is x = -8.

8x - 11 = -75\ \Rightarrow\ x = -8

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The lines y = 8x − 11 and y = -75 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 subtraction, then the multiplication.
$8x - 11 = -75$
2
Add 11 to both sides:
$8x - 11 + 11 = -75 + 11 \ \Rightarrow\ 8x = -64$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-64}{8} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$8\cdot(-8) - 11 = -64 - 11 = -75 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 11 = -75\ \Rightarrow\ x = -8 \]
\[ 8x - 11 = -75 \]
\[ 8x - 11 + 11 = -75 + 11 \ \Rightarrow\ 8x = -64 \]
\[ \frac{8x}{8} = \frac{-64}{8} \ \Rightarrow\ x = -8 \]
\[ 8\cdot(-8) - 11 = -64 - 11 = -75 \checkmark \]

Trying values of x in 8x − 11 = −75

x	8x − 11	Equals -75?
-10	-91	no
-9	-83	no
-8	-75	yes
-7	-67	no
-6	-59	no

Questions

What is x in 8x − 11 = −75?

The solution of 8x − 11 = −75 is x = -8.

How do you solve 8x − 11 = −75?

Add 11 to both sides to get 8x = -64, then divide both sides by 8 to get x = -8.

How do I check the answer?

Replace x by -8: 8(-8) − 11 = -75, which is -75.

Solve 8x − 11 = −75

How to work it out

Trying values of x in 8x − 11 = −75

Questions

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