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Solve 3x + 6 = 54

The solution of 3x + 6 = 54 is x = 16.

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The lines y = 3x + 6 and y = 54 meet at x = 1610121416182022354045505560657075x = 16y = 3x + 6y = 54
The lines y = 3x + 6 and y = 54 meet at x = 16. 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+6=543x + 6 = 54
  2. 2

    Subtract 6 from both sides:

    3x+6−6=54−6 ⇒ 3x=483x + 6 - 6 = 54 - 6 \ \Rightarrow\ 3x = 48
  3. 3

    Divide both sides by 3:

    3x3=483 ⇒ x=16\frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    3⋅16+6=48+6=54✓3\cdot16 + 6 = 48 + 6 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 54\ \Rightarrow\ x = 16 \]
\[ 3x + 6 = 54 \]
\[ 3x + 6 - 6 = 54 - 6 \ \Rightarrow\ 3x = 48 \]
\[ \frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16 \]
\[ 3\cdot16 + 6 = 48 + 6 = 54 \checkmark \]

Trying values of x in 3x + 6 = 54

x3x + 6Equals 54?
1448no
1551no
1654yes
1757no
1860no

Questions

What is x in 3x + 6 = 54?

The solution of 3x + 6 = 54 is x = 16.

How do you solve 3x + 6 = 54?

Subtract 6 from both sides to get 3x = 48, then divide both sides by 3 to get x = 16.

How do I check the answer?

Replace x by 16: 3(16) + 6 = 54, which is 54.

Similar equations

    Solve 3x + 6 = 54: x = 16 (steps and check) | WordGPT