Solve 11x + 3 = −19

The solution of 11x + 3 = −19 is x = -2.

11x + 3 = -19\ \Rightarrow\ x = -2

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The lines y = 11x + 3 and y = -19 meet at x = -2. 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.
$11x + 3 = -19$
2
Subtract 3 from both sides:
$11x + 3 - 3 = -19 - 3 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) + 3 = -22 + 3 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 3 = -19\ \Rightarrow\ x = -2 \]
\[ 11x + 3 = -19 \]
\[ 11x + 3 - 3 = -19 - 3 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) + 3 = -22 + 3 = -19 \checkmark \]

Trying values of x in 11x + 3 = −19

x	11x + 3	Equals -19?
-4	-41	no
-3	-30	no
-2	-19	yes
-1	-8	no
0	3	no

Questions

What is x in 11x + 3 = −19?

The solution of 11x + 3 = −19 is x = -2.

How do you solve 11x + 3 = −19?

Subtract 3 from both sides to get 11x = -22, then divide both sides by 11 to get x = -2.

How do I check the answer?

Replace x by -2: 11(-2) + 3 = -19, which is -19.

Solve 11x + 3 = −19

How to work it out

Trying values of x in 11x + 3 = −19

Questions

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