Solve 2x + 14 = −6

The solution of 2x + 14 = −6 is x = -10.

2x + 14 = -6\ \Rightarrow\ x = -10

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The lines y = 2x + 14 and y = -6 meet at x = -10. 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.
$2x + 14 = -6$
2
Subtract 14 from both sides:
$2x + 14 - 14 = -6 - 14 \ \Rightarrow\ 2x = -20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$2\cdot(-10) + 14 = -20 + 14 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 14 = -6\ \Rightarrow\ x = -10 \]
\[ 2x + 14 = -6 \]
\[ 2x + 14 - 14 = -6 - 14 \ \Rightarrow\ 2x = -20 \]
\[ \frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10 \]
\[ 2\cdot(-10) + 14 = -20 + 14 = -6 \checkmark \]

Trying values of x in 2x + 14 = −6

x	2x + 14	Equals -6?
-12	-10	no
-11	-8	no
-10	-6	yes
-9	-4	no
-8	-2	no

Questions

What is x in 2x + 14 = −6?

The solution of 2x + 14 = −6 is x = -10.

How do you solve 2x + 14 = −6?

Subtract 14 from both sides to get 2x = -20, then divide both sides by 2 to get x = -10.

How do I check the answer?

Replace x by -10: 2(-10) + 14 = -6, which is -6.

Solve 2x + 14 = −6

How to work it out

Trying values of x in 2x + 14 = −6

Questions

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