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Solve 12x + 15 = 3

The solution of 12x + 15 = 3 is x = -1.

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The lines y = 12x + 15 and y = 3 meet at x = -1-6-4-224-80-60-40-2020406080x = -1y = 12x + 15y = 3
The lines y = 12x + 15 and y = 3 meet at x = -1. 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.

    12x+15=312x + 15 = 3
  2. 2

    Subtract 15 from both sides:

    12x+15−15=3−15 ⇒ 12x=−1212x + 15 - 15 = 3 - 15 \ \Rightarrow\ 12x = -12
  3. 3

    Divide both sides by 12:

    12x12=−1212 ⇒ x=−1\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    12⋅(−1)+15=−12+15=3✓12\cdot(-1) + 15 = -12 + 15 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 3\ \Rightarrow\ x = -1 \]
\[ 12x + 15 = 3 \]
\[ 12x + 15 - 15 = 3 - 15 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) + 15 = -12 + 15 = 3 \checkmark \]

Trying values of x in 12x + 15 = 3

x12x + 15Equals 3?
-3-21no
-2-9no
-13yes
015no
127no

Questions

What is x in 12x + 15 = 3?

The solution of 12x + 15 = 3 is x = -1.

How do you solve 12x + 15 = 3?

Subtract 15 from both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) + 15 = 3, which is 3.

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    Solve 12x + 15 = 3: x = -1 (steps and check) | WordGPT