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Solve 3x + 12 = 54

The solution of 3x + 12 = 54 is x = 14.

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The lines y = 3x + 12 and y = 54 meet at x = 148101214161820354045505560657075x = 14y = 3x + 12y = 54
The lines y = 3x + 12 and y = 54 meet at x = 14. 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=543x + 12 = 54
  2. 2

    Subtract 12 from both sides:

    3x+12−12=54−12 ⇒ 3x=423x + 12 - 12 = 54 - 12 \ \Rightarrow\ 3x = 42
  3. 3

    Divide both sides by 3:

    3x3=423 ⇒ x=14\frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    3⋅14+12=42+12=54✓3\cdot14 + 12 = 42 + 12 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 54\ \Rightarrow\ x = 14 \]
\[ 3x + 12 = 54 \]
\[ 3x + 12 - 12 = 54 - 12 \ \Rightarrow\ 3x = 42 \]
\[ \frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14 \]
\[ 3\cdot14 + 12 = 42 + 12 = 54 \checkmark \]

Trying values of x in 3x + 12 = 54

x3x + 12Equals 54?
1248no
1351no
1454yes
1557no
1660no

Questions

What is x in 3x + 12 = 54?

The solution of 3x + 12 = 54 is x = 14.

How do you solve 3x + 12 = 54?

Subtract 12 from both sides to get 3x = 42, then divide both sides by 3 to get x = 14.

How do I check the answer?

Replace x by 14: 3(14) + 12 = 54, which is 54.

Similar equations

    Solve 3x + 12 = 54: x = 14 (steps and check) | WordGPT