Solve 10x + 14 = −16

The solution of 10x + 14 = −16 is x = -3.

10x + 14 = -16\ \Rightarrow\ x = -3

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The lines y = 10x + 14 and y = -16 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 addition, then the multiplication.
$10x + 14 = -16$
2
Subtract 14 from both sides:
$10x + 14 - 14 = -16 - 14 \ \Rightarrow\ 10x = -30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$10\cdot(-3) + 14 = -30 + 14 = -16 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 14 = -16\ \Rightarrow\ x = -3 \]
\[ 10x + 14 = -16 \]
\[ 10x + 14 - 14 = -16 - 14 \ \Rightarrow\ 10x = -30 \]
\[ \frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3 \]
\[ 10\cdot(-3) + 14 = -30 + 14 = -16 \checkmark \]

Trying values of x in 10x + 14 = −16

x	10x + 14	Equals -16?
-5	-36	no
-4	-26	no
-3	-16	yes
-2	-6	no
-1	4	no

Questions

What is x in 10x + 14 = −16?

The solution of 10x + 14 = −16 is x = -3.

How do you solve 10x + 14 = −16?

Subtract 14 from 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 = -16, which is -16.

Solve 10x + 14 = −16

How to work it out

Trying values of x in 10x + 14 = −16

Questions

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