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Solve 6x + 12 = 54

The solution of 6x + 12 = 54 is x = 7.

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The lines y = 6x + 12 and y = 54 meet at x = 7246810122030405060708090x = 7y = 6x + 12y = 54
The lines y = 6x + 12 and y = 54 meet at x = 7. 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.

    6x+12=546x + 12 = 54
  2. 2

    Subtract 12 from both sides:

    6x+12−12=54−12 ⇒ 6x=426x + 12 - 12 = 54 - 12 \ \Rightarrow\ 6x = 42
  3. 3

    Divide both sides by 6:

    6x6=426 ⇒ x=7\frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    6⋅7+12=42+12=54✓6\cdot7 + 12 = 42 + 12 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 54\ \Rightarrow\ x = 7 \]
\[ 6x + 12 = 54 \]
\[ 6x + 12 - 12 = 54 - 12 \ \Rightarrow\ 6x = 42 \]
\[ \frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7 \]
\[ 6\cdot7 + 12 = 42 + 12 = 54 \checkmark \]

Trying values of x in 6x + 12 = 54

x6x + 12Equals 54?
542no
648no
754yes
860no
966no

Questions

What is x in 6x + 12 = 54?

The solution of 6x + 12 = 54 is x = 7.

How do you solve 6x + 12 = 54?

Subtract 12 from both sides to get 6x = 42, then divide both sides by 6 to get x = 7.

How do I check the answer?

Replace x by 7: 6(7) + 12 = 54, which is 54.

Similar equations

    Solve 6x + 12 = 54: x = 7 (steps and check) | WordGPT