Solve 4x + 11 = −5

The solution of 4x + 11 = −5 is x = -4.

4x + 11 = -5\ \Rightarrow\ x = -4

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The lines y = 4x + 11 and y = -5 meet at x = -4. 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.
$4x + 11 = -5$
2
Subtract 11 from both sides:
$4x + 11 - 11 = -5 - 11 \ \Rightarrow\ 4x = -16$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-16}{4} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$4\cdot(-4) + 11 = -16 + 11 = -5 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 11 = -5\ \Rightarrow\ x = -4 \]
\[ 4x + 11 = -5 \]
\[ 4x + 11 - 11 = -5 - 11 \ \Rightarrow\ 4x = -16 \]
\[ \frac{4x}{4} = \frac{-16}{4} \ \Rightarrow\ x = -4 \]
\[ 4\cdot(-4) + 11 = -16 + 11 = -5 \checkmark \]

Trying values of x in 4x + 11 = −5

x	4x + 11	Equals -5?
-6	-13	no
-5	-9	no
-4	-5	yes
-3	-1	no
-2	3	no

Questions

What is x in 4x + 11 = −5?

The solution of 4x + 11 = −5 is x = -4.

How do you solve 4x + 11 = −5?

Subtract 11 from both sides to get 4x = -16, then divide both sides by 4 to get x = -4.

How do I check the answer?

Replace x by -4: 4(-4) + 11 = -5, which is -5.

Solve 4x + 11 = −5

How to work it out

Trying values of x in 4x + 11 = −5

Questions

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