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Solve 3x + 12 = 3

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

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The lines y = 3x + 12 and y = 3 meet at x = -3-8-6-4-22-15-10-55101520x = -3y = 3x + 12y = 3
The lines y = 3x + 12 and y = 3 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. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+12=33x + 12 = 3
  2. 2

    Subtract 12 from both sides:

    3x+12−12=3−12 ⇒ 3x=−93x + 12 - 12 = 3 - 12 \ \Rightarrow\ 3x = -9
  3. 3

    Divide both sides by 3:

    3x3=−93 ⇒ x=−3\frac{3x}{3} = \frac{-9}{3} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    3⋅(−3)+12=−9+12=3✓3\cdot(-3) + 12 = -9 + 12 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 3\ \Rightarrow\ x = -3 \]
\[ 3x + 12 = 3 \]
\[ 3x + 12 - 12 = 3 - 12 \ \Rightarrow\ 3x = -9 \]
\[ \frac{3x}{3} = \frac{-9}{3} \ \Rightarrow\ x = -3 \]
\[ 3\cdot(-3) + 12 = -9 + 12 = 3 \checkmark \]

Trying values of x in 3x + 12 = 3

x3x + 12Equals 3?
-5-3no
-40no
-33yes
-26no
-19no

Questions

What is x in 3x + 12 = 3?

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

How do you solve 3x + 12 = 3?

Subtract 12 from both sides to get 3x = -9, then divide both sides by 3 to get x = -3.

How do I check the answer?

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

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    Solve 3x + 12 = 3: x = -3 (steps and check) | WordGPT