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Solve 12x + 6 = 54

The solution of 12x + 6 = 54 is x = 4.

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The lines y = 12x + 6 and y = 54 meet at x = 4-2246810-2020406080100120140x = 4y = 12x + 6y = 54
The lines y = 12x + 6 and y = 54 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+6=5412x + 6 = 54
  2. 2

    Subtract 6 from both sides:

    12x+6−6=54−6 ⇒ 12x=4812x + 6 - 6 = 54 - 6 \ \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+6=48+6=54✓12\cdot4 + 6 = 48 + 6 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 54\ \Rightarrow\ x = 4 \]
\[ 12x + 6 = 54 \]
\[ 12x + 6 - 6 = 54 - 6 \ \Rightarrow\ 12x = 48 \]
\[ \frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4 \]
\[ 12\cdot4 + 6 = 48 + 6 = 54 \checkmark \]

Trying values of x in 12x + 6 = 54

x12x + 6Equals 54?
230no
342no
454yes
566no
678no

Questions

What is x in 12x + 6 = 54?

The solution of 12x + 6 = 54 is x = 4.

How do you solve 12x + 6 = 54?

Subtract 6 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) + 6 = 54, which is 54.

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    Solve 12x + 6 = 54: x = 4 (steps and check) | WordGPT