Solve 2x + 6 = −14

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 2x + 6 = −14

x	2x + 6	Equals -14?
-12	-18	no
-11	-16	no
-10	-14	yes
-9	-12	no
-8	-10	no

Questions

What is x in 2x + 6 = −14?

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

How do you solve 2x + 6 = −14?

Subtract 6 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) + 6 = -14, which is -14.

Solve 2x + 6 = −14

How to work it out

Trying values of x in 2x + 6 = −14

Questions

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