Solve 10x − 14 = −44

The solution of 10x − 14 = −44 is x = -3.

10x - 14 = -44\ \Rightarrow\ x = -3

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The lines y = 10x − 14 and y = -44 meet at x = -3. 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.
$10x - 14 = -44$
2
Add 14 to both sides:
$10x - 14 + 14 = -44 + 14 \ \Rightarrow\ 10x = -30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$10\cdot(-3) - 14 = -30 - 14 = -44 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = -44\ \Rightarrow\ x = -3 \]
\[ 10x - 14 = -44 \]
\[ 10x - 14 + 14 = -44 + 14 \ \Rightarrow\ 10x = -30 \]
\[ \frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3 \]
\[ 10\cdot(-3) - 14 = -30 - 14 = -44 \checkmark \]

Trying values of x in 10x − 14 = −44

x	10x − 14	Equals -44?
-5	-64	no
-4	-54	no
-3	-44	yes
-2	-34	no
-1	-24	no

Questions

What is x in 10x − 14 = −44?

The solution of 10x − 14 = −44 is x = -3.

How do you solve 10x − 14 = −44?

Add 14 to both sides to get 10x = -30, then divide both sides by 10 to get x = -3.

How do I check the answer?

Replace x by -3: 10(-3) − 14 = -44, which is -44.

Solve 10x − 14 = −44

How to work it out

Trying values of x in 10x − 14 = −44

Questions

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