Solve 2x + 4 = −6

The solution of 2x + 4 = −6 is x = -5.

2x + 4 = -6\ \Rightarrow\ x = -5

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The lines y = 2x + 4 and y = -6 meet at x = -5. 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.
$2x + 4 = -6$
2
Subtract 4 from both sides:
$2x + 4 - 4 = -6 - 4 \ \Rightarrow\ 2x = -10$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$2\cdot(-5) + 4 = -10 + 4 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 4 = -6\ \Rightarrow\ x = -5 \]
\[ 2x + 4 = -6 \]
\[ 2x + 4 - 4 = -6 - 4 \ \Rightarrow\ 2x = -10 \]
\[ \frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5 \]
\[ 2\cdot(-5) + 4 = -10 + 4 = -6 \checkmark \]

Trying values of x in 2x + 4 = −6

x	2x + 4	Equals -6?
-7	-10	no
-6	-8	no
-5	-6	yes
-4	-4	no
-3	-2	no

Questions

What is x in 2x + 4 = −6?

The solution of 2x + 4 = −6 is x = -5.

How do you solve 2x + 4 = −6?

Subtract 4 from both sides to get 2x = -10, then divide both sides by 2 to get x = -5.

How do I check the answer?

Replace x by -5: 2(-5) + 4 = -6, which is -6.

Solve 2x + 4 = −6

How to work it out

Trying values of x in 2x + 4 = −6

Questions

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