Solve 5x + 11 = −14

The solution of 5x + 11 = −14 is x = -5.

5x + 11 = -14\ \Rightarrow\ x = -5

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The lines y = 5x + 11 and y = -14 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.
$5x + 11 = -14$
2
Subtract 11 from both sides:
$5x + 11 - 11 = -14 - 11 \ \Rightarrow\ 5x = -25$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-25}{5} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$5\cdot(-5) + 11 = -25 + 11 = -14 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 11 = -14\ \Rightarrow\ x = -5 \]
\[ 5x + 11 = -14 \]
\[ 5x + 11 - 11 = -14 - 11 \ \Rightarrow\ 5x = -25 \]
\[ \frac{5x}{5} = \frac{-25}{5} \ \Rightarrow\ x = -5 \]
\[ 5\cdot(-5) + 11 = -25 + 11 = -14 \checkmark \]

Trying values of x in 5x + 11 = −14

x	5x + 11	Equals -14?
-7	-24	no
-6	-19	no
-5	-14	yes
-4	-9	no
-3	-4	no

Questions

What is x in 5x + 11 = −14?

The solution of 5x + 11 = −14 is x = -5.

How do you solve 5x + 11 = −14?

Subtract 11 from both sides to get 5x = -25, then divide both sides by 5 to get x = -5.

How do I check the answer?

Replace x by -5: 5(-5) + 11 = -14, which is -14.

Solve 5x + 11 = −14

How to work it out

Trying values of x in 5x + 11 = −14

Questions

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