Solve 5x − 4 = −54

The solution of 5x − 4 = −54 is x = -10.

5x - 4 = -54\ \Rightarrow\ x = -10

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The lines y = 5x − 4 and y = -54 meet at x = -10. 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.
$5x - 4 = -54$
2
Add 4 to both sides:
$5x - 4 + 4 = -54 + 4 \ \Rightarrow\ 5x = -50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$5\cdot(-10) - 4 = -50 - 4 = -54 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 4 = -54\ \Rightarrow\ x = -10 \]
\[ 5x - 4 = -54 \]
\[ 5x - 4 + 4 = -54 + 4 \ \Rightarrow\ 5x = -50 \]
\[ \frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10 \]
\[ 5\cdot(-10) - 4 = -50 - 4 = -54 \checkmark \]

Trying values of x in 5x − 4 = −54

x	5x − 4	Equals -54?
-12	-64	no
-11	-59	no
-10	-54	yes
-9	-49	no
-8	-44	no

Questions

What is x in 5x − 4 = −54?

The solution of 5x − 4 = −54 is x = -10.

How do you solve 5x − 4 = −54?

Add 4 to both sides to get 5x = -50, then divide both sides by 5 to get x = -10.

How do I check the answer?

Replace x by -10: 5(-10) − 4 = -54, which is -54.

Solve 5x − 4 = −54

How to work it out

Trying values of x in 5x − 4 = −54

Questions

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