Solve 8x − 11 = −27

The solution of 8x − 11 = −27 is x = -2.

8x - 11 = -27\ \Rightarrow\ x = -2

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The lines y = 8x − 11 and y = -27 meet at x = -2. 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.
$8x - 11 = -27$
2
Add 11 to both sides:
$8x - 11 + 11 = -27 + 11 \ \Rightarrow\ 8x = -16$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$8\cdot(-2) - 11 = -16 - 11 = -27 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 11 = -27\ \Rightarrow\ x = -2 \]
\[ 8x - 11 = -27 \]
\[ 8x - 11 + 11 = -27 + 11 \ \Rightarrow\ 8x = -16 \]
\[ \frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2 \]
\[ 8\cdot(-2) - 11 = -16 - 11 = -27 \checkmark \]

Trying values of x in 8x − 11 = −27

x	8x − 11	Equals -27?
-4	-43	no
-3	-35	no
-2	-27	yes
-1	-19	no
0	-11	no

Questions

What is x in 8x − 11 = −27?

The solution of 8x − 11 = −27 is x = -2.

How do you solve 8x − 11 = −27?

Add 11 to both sides to get 8x = -16, then divide both sides by 8 to get x = -2.

How do I check the answer?

Replace x by -2: 8(-2) − 11 = -27, which is -27.

Solve 8x − 11 = −27

How to work it out

Trying values of x in 8x − 11 = −27

Questions

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