Solve 12x + 5 = −19

The solution of 12x + 5 = −19 is x = -2.

12x + 5 = -19\ \Rightarrow\ x = -2

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The lines y = 12x + 5 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.
$12x + 5 = -19$
2
Subtract 5 from both sides:
$12x + 5 - 5 = -19 - 5 \ \Rightarrow\ 12x = -24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$12\cdot(-2) + 5 = -24 + 5 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 5 = -19\ \Rightarrow\ x = -2 \]
\[ 12x + 5 = -19 \]
\[ 12x + 5 - 5 = -19 - 5 \ \Rightarrow\ 12x = -24 \]
\[ \frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2 \]
\[ 12\cdot(-2) + 5 = -24 + 5 = -19 \checkmark \]

Trying values of x in 12x + 5 = −19

x	12x + 5	Equals -19?
-4	-43	no
-3	-31	no
-2	-19	yes
-1	-7	no
0	5	no

Questions

What is x in 12x + 5 = −19?

The solution of 12x + 5 = −19 is x = -2.

How do you solve 12x + 5 = −19?

Subtract 5 from both sides to get 12x = -24, then divide both sides by 12 to get x = -2.

How do I check the answer?

Replace x by -2: 12(-2) + 5 = -19, which is -19.

Solve 12x + 5 = −19

How to work it out

Trying values of x in 12x + 5 = −19

Questions

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