Solve 10x − 14 = −54

The solution of 10x − 14 = −54 is x = -4.

10x - 14 = -54\ \Rightarrow\ x = -4

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The lines y = 10x − 14 and y = -54 meet at x = -4. 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.
$10x - 14 = -54$
2
Add 14 to both sides:
$10x - 14 + 14 = -54 + 14 \ \Rightarrow\ 10x = -40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$10\cdot(-4) - 14 = -40 - 14 = -54 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = -54\ \Rightarrow\ x = -4 \]
\[ 10x - 14 = -54 \]
\[ 10x - 14 + 14 = -54 + 14 \ \Rightarrow\ 10x = -40 \]
\[ \frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4 \]
\[ 10\cdot(-4) - 14 = -40 - 14 = -54 \checkmark \]

Trying values of x in 10x − 14 = −54

x	10x − 14	Equals -54?
-6	-74	no
-5	-64	no
-4	-54	yes
-3	-44	no
-2	-34	no

Questions

What is x in 10x − 14 = −54?

The solution of 10x − 14 = −54 is x = -4.

How do you solve 10x − 14 = −54?

Add 14 to both sides to get 10x = -40, then divide both sides by 10 to get x = -4.

How do I check the answer?

Replace x by -4: 10(-4) − 14 = -54, which is -54.

Solve 10x − 14 = −54

How to work it out

Trying values of x in 10x − 14 = −54

Questions

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