Solve 8x − 14 = −54

The solution of 8x − 14 = −54 is x = -5.

8x - 14 = -54\ \Rightarrow\ x = -5

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The lines y = 8x − 14 and y = -54 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 subtraction, then the multiplication.
$8x - 14 = -54$
2
Add 14 to both sides:
$8x - 14 + 14 = -54 + 14 \ \Rightarrow\ 8x = -40$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$8\cdot(-5) - 14 = -40 - 14 = -54 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 14 = -54\ \Rightarrow\ x = -5 \]
\[ 8x - 14 = -54 \]
\[ 8x - 14 + 14 = -54 + 14 \ \Rightarrow\ 8x = -40 \]
\[ \frac{8x}{8} = \frac{-40}{8} \ \Rightarrow\ x = -5 \]
\[ 8\cdot(-5) - 14 = -40 - 14 = -54 \checkmark \]

Trying values of x in 8x − 14 = −54

x	8x − 14	Equals -54?
-7	-70	no
-6	-62	no
-5	-54	yes
-4	-46	no
-3	-38	no

Questions

What is x in 8x − 14 = −54?

The solution of 8x − 14 = −54 is x = -5.

How do you solve 8x − 14 = −54?

Add 14 to 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) − 14 = -54, which is -54.

Solve 8x − 14 = −54

How to work it out

Trying values of x in 8x − 14 = −54

Questions

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