Solve 11x + 14 = −19

The solution of 11x + 14 = −19 is x = -3.

11x + 14 = -19\ \Rightarrow\ x = -3

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The lines y = 11x + 14 and y = -19 meet at x = -3. 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.
$11x + 14 = -19$
2
Subtract 14 from both sides:
$11x + 14 - 14 = -19 - 14 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) + 14 = -33 + 14 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 14 = -19\ \Rightarrow\ x = -3 \]
\[ 11x + 14 = -19 \]
\[ 11x + 14 - 14 = -19 - 14 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) + 14 = -33 + 14 = -19 \checkmark \]

Trying values of x in 11x + 14 = −19

x	11x + 14	Equals -19?
-5	-41	no
-4	-30	no
-3	-19	yes
-2	-8	no
-1	3	no

Questions

What is x in 11x + 14 = −19?

The solution of 11x + 14 = −19 is x = -3.

How do you solve 11x + 14 = −19?

Subtract 14 from both sides to get 11x = -33, then divide both sides by 11 to get x = -3.

How do I check the answer?

Replace x by -3: 11(-3) + 14 = -19, which is -19.

Solve 11x + 14 = −19

How to work it out

Trying values of x in 11x + 14 = −19

Questions

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