Solve 10x − 4 = −84

The solution of 10x − 4 = −84 is x = -8.

10x - 4 = -84\ \Rightarrow\ x = -8

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The lines y = 10x − 4 and y = -84 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.
$10x - 4 = -84$
2
Add 4 to both sides:
$10x - 4 + 4 = -84 + 4 \ \Rightarrow\ 10x = -80$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-80}{10} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$10\cdot(-8) - 4 = -80 - 4 = -84 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 4 = -84\ \Rightarrow\ x = -8 \]
\[ 10x - 4 = -84 \]
\[ 10x - 4 + 4 = -84 + 4 \ \Rightarrow\ 10x = -80 \]
\[ \frac{10x}{10} = \frac{-80}{10} \ \Rightarrow\ x = -8 \]
\[ 10\cdot(-8) - 4 = -80 - 4 = -84 \checkmark \]

Trying values of x in 10x − 4 = −84

x	10x − 4	Equals -84?
-10	-104	no
-9	-94	no
-8	-84	yes
-7	-74	no
-6	-64	no

Questions

What is x in 10x − 4 = −84?

The solution of 10x − 4 = −84 is x = -8.

How do you solve 10x − 4 = −84?

Add 4 to both sides to get 10x = -80, then divide both sides by 10 to get x = -8.

How do I check the answer?

Replace x by -8: 10(-8) − 4 = -84, which is -84.

Solve 10x − 4 = −84

How to work it out

Trying values of x in 10x − 4 = −84

Questions

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