Solve 9x − 14 = −50

The solution of 9x − 14 = −50 is x = -4.

9x - 14 = -50\ \Rightarrow\ x = -4

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The lines y = 9x − 14 and y = -50 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.
$9x - 14 = -50$
2
Add 14 to both sides:
$9x - 14 + 14 = -50 + 14 \ \Rightarrow\ 9x = -36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$9\cdot(-4) - 14 = -36 - 14 = -50 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = -50\ \Rightarrow\ x = -4 \]
\[ 9x - 14 = -50 \]
\[ 9x - 14 + 14 = -50 + 14 \ \Rightarrow\ 9x = -36 \]
\[ \frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4 \]
\[ 9\cdot(-4) - 14 = -36 - 14 = -50 \checkmark \]

Trying values of x in 9x − 14 = −50

x	9x − 14	Equals -50?
-6	-68	no
-5	-59	no
-4	-50	yes
-3	-41	no
-2	-32	no

Questions

What is x in 9x − 14 = −50?

The solution of 9x − 14 = −50 is x = -4.

How do you solve 9x − 14 = −50?

Add 14 to both sides to get 9x = -36, then divide both sides by 9 to get x = -4.

How do I check the answer?

Replace x by -4: 9(-4) − 14 = -50, which is -50.

Solve 9x − 14 = −50

How to work it out

Trying values of x in 9x − 14 = −50

Questions

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