Solve 12x + 3 = −33

The solution of 12x + 3 = −33 is x = -3.

12x + 3 = -33\ \Rightarrow\ x = -3

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The lines y = 12x + 3 and y = -33 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.
$12x + 3 = -33$
2
Subtract 3 from both sides:
$12x + 3 - 3 = -33 - 3 \ \Rightarrow\ 12x = -36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$12\cdot(-3) + 3 = -36 + 3 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 3 = -33\ \Rightarrow\ x = -3 \]
\[ 12x + 3 = -33 \]
\[ 12x + 3 - 3 = -33 - 3 \ \Rightarrow\ 12x = -36 \]
\[ \frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3 \]
\[ 12\cdot(-3) + 3 = -36 + 3 = -33 \checkmark \]

Trying values of x in 12x + 3 = −33

x	12x + 3	Equals -33?
-5	-57	no
-4	-45	no
-3	-33	yes
-2	-21	no
-1	-9	no

Questions

What is x in 12x + 3 = −33?

The solution of 12x + 3 = −33 is x = -3.

How do you solve 12x + 3 = −33?

Subtract 3 from both sides to get 12x = -36, then divide both sides by 12 to get x = -3.

How do I check the answer?

Replace x by -3: 12(-3) + 3 = -33, which is -33.

Solve 12x + 3 = −33

How to work it out

Trying values of x in 12x + 3 = −33

Questions

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