Solve 2x + 7 = −11

The solution of 2x + 7 = −11 is x = -9.

2x + 7 = -11\ \Rightarrow\ x = -9

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The lines y = 2x + 7 and y = -11 meet at x = -9. 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.
$2x + 7 = -11$
2
Subtract 7 from both sides:
$2x + 7 - 7 = -11 - 7 \ \Rightarrow\ 2x = -18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-18}{2} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$2\cdot(-9) + 7 = -18 + 7 = -11 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 7 = -11\ \Rightarrow\ x = -9 \]
\[ 2x + 7 = -11 \]
\[ 2x + 7 - 7 = -11 - 7 \ \Rightarrow\ 2x = -18 \]
\[ \frac{2x}{2} = \frac{-18}{2} \ \Rightarrow\ x = -9 \]
\[ 2\cdot(-9) + 7 = -18 + 7 = -11 \checkmark \]

Trying values of x in 2x + 7 = −11

x	2x + 7	Equals -11?
-11	-15	no
-10	-13	no
-9	-11	yes
-8	-9	no
-7	-7	no

Questions

What is x in 2x + 7 = −11?

The solution of 2x + 7 = −11 is x = -9.

How do you solve 2x + 7 = −11?

Subtract 7 from both sides to get 2x = -18, then divide both sides by 2 to get x = -9.

How do I check the answer?

Replace x by -9: 2(-9) + 7 = -11, which is -11.

Solve 2x + 7 = −11

How to work it out

Trying values of x in 2x + 7 = −11

Questions

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