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Solve 12x + 15 = 51

The solution of 12x + 15 = 51 is x = 3.

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The lines y = 12x + 15 and y = 51 meet at x = 3-22468-2020406080100120x = 3y = 12x + 15y = 51
The lines y = 12x + 15 and y = 51 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.

    12x+15=5112x + 15 = 51
  2. 2

    Subtract 15 from both sides:

    12x+15−15=51−15 ⇒ 12x=3612x + 15 - 15 = 51 - 15 \ \Rightarrow\ 12x = 36
  3. 3

    Divide both sides by 12:

    12x12=3612 ⇒ x=3\frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    12⋅3+15=36+15=51✓12\cdot3 + 15 = 36 + 15 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 51\ \Rightarrow\ x = 3 \]
\[ 12x + 15 = 51 \]
\[ 12x + 15 - 15 = 51 - 15 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 + 15 = 36 + 15 = 51 \checkmark \]

Trying values of x in 12x + 15 = 51

x12x + 15Equals 51?
127no
239no
351yes
463no
575no

Questions

What is x in 12x + 15 = 51?

The solution of 12x + 15 = 51 is x = 3.

How do you solve 12x + 15 = 51?

Subtract 15 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) + 15 = 51, which is 51.

Similar equations

    Solve 12x + 15 = 51: x = 3 (steps and check) | WordGPT