Solve 8x − 3 = −27

The solution of 8x − 3 = −27 is x = -3.

8x - 3 = -27\ \Rightarrow\ x = -3

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The lines y = 8x − 3 and y = -27 meet at x = -3. 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.
$8x - 3 = -27$
2
Add 3 to both sides:
$8x - 3 + 3 = -27 + 3 \ \Rightarrow\ 8x = -24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$8\cdot(-3) - 3 = -24 - 3 = -27 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 3 = -27\ \Rightarrow\ x = -3 \]
\[ 8x - 3 = -27 \]
\[ 8x - 3 + 3 = -27 + 3 \ \Rightarrow\ 8x = -24 \]
\[ \frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3 \]
\[ 8\cdot(-3) - 3 = -24 - 3 = -27 \checkmark \]

Trying values of x in 8x − 3 = −27

x	8x − 3	Equals -27?
-5	-43	no
-4	-35	no
-3	-27	yes
-2	-19	no
-1	-11	no

Questions

What is x in 8x − 3 = −27?

The solution of 8x − 3 = −27 is x = -3.

How do you solve 8x − 3 = −27?

Add 3 to both sides to get 8x = -24, then divide both sides by 8 to get x = -3.

How do I check the answer?

Replace x by -3: 8(-3) − 3 = -27, which is -27.

Solve 8x − 3 = −27

How to work it out

Trying values of x in 8x − 3 = −27

Questions

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