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Solve 12x + 3 = 51

The solution of 12x + 3 = 51 is x = 4.

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The lines y = 12x + 3 and y = 51 meet at x = 4-2246810-2020406080100120x = 4y = 12x + 3y = 51
The lines y = 12x + 3 and y = 51 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. 1

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

    12x+3=5112x + 3 = 51
  2. 2

    Subtract 3 from both sides:

    12x+3−3=51−3 ⇒ 12x=4812x + 3 - 3 = 51 - 3 \ \Rightarrow\ 12x = 48
  3. 3

    Divide both sides by 12:

    12x12=4812 ⇒ x=4\frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    12⋅4+3=48+3=51✓12\cdot4 + 3 = 48 + 3 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 3 = 51\ \Rightarrow\ x = 4 \]
\[ 12x + 3 = 51 \]
\[ 12x + 3 - 3 = 51 - 3 \ \Rightarrow\ 12x = 48 \]
\[ \frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4 \]
\[ 12\cdot4 + 3 = 48 + 3 = 51 \checkmark \]

Trying values of x in 12x + 3 = 51

x12x + 3Equals 51?
227no
339no
451yes
563no
675no

Questions

What is x in 12x + 3 = 51?

The solution of 12x + 3 = 51 is x = 4.

How do you solve 12x + 3 = 51?

Subtract 3 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) + 3 = 51, which is 51.

Similar equations

    Solve 12x + 3 = 51: x = 4 (steps and check) | WordGPT