Solve 2x + 2 = −10

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

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

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The lines y = 2x + 2 and y = -10 meet at x = -6. 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.
$2x + 2 = -10$
2
Subtract 2 from both sides:
$2x + 2 - 2 = -10 - 2 \ \Rightarrow\ 2x = -12$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-12}{2} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$2\cdot(-6) + 2 = -12 + 2 = -10 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 2 = -10\ \Rightarrow\ x = -6 \]
\[ 2x + 2 = -10 \]
\[ 2x + 2 - 2 = -10 - 2 \ \Rightarrow\ 2x = -12 \]
\[ \frac{2x}{2} = \frac{-12}{2} \ \Rightarrow\ x = -6 \]
\[ 2\cdot(-6) + 2 = -12 + 2 = -10 \checkmark \]

Trying values of x in 2x + 2 = −10

x	2x + 2	Equals -10?
-8	-14	no
-7	-12	no
-6	-10	yes
-5	-8	no
-4	-6	no

Questions

What is x in 2x + 2 = −10?

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

How do you solve 2x + 2 = −10?

Subtract 2 from both sides to get 2x = -12, then divide both sides by 2 to get x = -6.

How do I check the answer?

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

Solve 2x + 2 = −10

How to work it out

Trying values of x in 2x + 2 = −10

Questions

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