Solve 2x + 11 = −3

The solution of 2x + 11 = −3 is x = -7.

2x + 11 = -3\ \Rightarrow\ x = -7

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The lines y = 2x + 11 and y = -3 meet at x = -7. 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.
$2x + 11 = -3$
2
Subtract 11 from both sides:
$2x + 11 - 11 = -3 - 11 \ \Rightarrow\ 2x = -14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$2\cdot(-7) + 11 = -14 + 11 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 11 = -3\ \Rightarrow\ x = -7 \]
\[ 2x + 11 = -3 \]
\[ 2x + 11 - 11 = -3 - 11 \ \Rightarrow\ 2x = -14 \]
\[ \frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7 \]
\[ 2\cdot(-7) + 11 = -14 + 11 = -3 \checkmark \]

Trying values of x in 2x + 11 = −3

x	2x + 11	Equals -3?
-9	-7	no
-8	-5	no
-7	-3	yes
-6	-1	no
-5	1	no

Questions

What is x in 2x + 11 = −3?

The solution of 2x + 11 = −3 is x = -7.

How do you solve 2x + 11 = −3?

Subtract 11 from both sides to get 2x = -14, then divide both sides by 2 to get x = -7.

How do I check the answer?

Replace x by -7: 2(-7) + 11 = -3, which is -3.

Solve 2x + 11 = −3

How to work it out

Trying values of x in 2x + 11 = −3

Questions

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