Solve 12x + 15 = −33

The solution of 12x + 15 = −33 is x = -4.

12x + 15 = -33\ \Rightarrow\ x = -4

Explain it step by step in chat Make a short video of it

The lines y = 12x + 15 and y = -33 meet at x = -4. 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.
$12x + 15 = -33$
2
Subtract 15 from both sides:
$12x + 15 - 15 = -33 - 15 \ \Rightarrow\ 12x = -48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$12\cdot(-4) + 15 = -48 + 15 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 15 = -33\ \Rightarrow\ x = -4 \]
\[ 12x + 15 = -33 \]
\[ 12x + 15 - 15 = -33 - 15 \ \Rightarrow\ 12x = -48 \]
\[ \frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4 \]
\[ 12\cdot(-4) + 15 = -48 + 15 = -33 \checkmark \]

Trying values of x in 12x + 15 = −33

x	12x + 15	Equals -33?
-6	-57	no
-5	-45	no
-4	-33	yes
-3	-21	no
-2	-9	no

Questions

What is x in 12x + 15 = −33?

The solution of 12x + 15 = −33 is x = -4.

How do you solve 12x + 15 = −33?

Subtract 15 from both sides to get 12x = -48, then divide both sides by 12 to get x = -4.

How do I check the answer?

Replace x by -4: 12(-4) + 15 = -33, which is -33.

Solve 12x + 15 = −33

How to work it out

Trying values of x in 12x + 15 = −33

Questions

Similar equations