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Solve 4x + 6 = 54

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

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The lines y = 4x + 6 and y = 54 meet at x = 12681012141618304050607080x = 12y = 4x + 6y = 54
The lines y = 4x + 6 and y = 54 meet at x = 12. 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.

    4x+6=544x + 6 = 54
  2. 2

    Subtract 6 from both sides:

    4x+6−6=54−6 ⇒ 4x=484x + 6 - 6 = 54 - 6 \ \Rightarrow\ 4x = 48
  3. 3

    Divide both sides by 4:

    4x4=484 ⇒ x=12\frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    4⋅12+6=48+6=54✓4\cdot12 + 6 = 48 + 6 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 54\ \Rightarrow\ x = 12 \]
\[ 4x + 6 = 54 \]
\[ 4x + 6 - 6 = 54 - 6 \ \Rightarrow\ 4x = 48 \]
\[ \frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12 \]
\[ 4\cdot12 + 6 = 48 + 6 = 54 \checkmark \]

Trying values of x in 4x + 6 = 54

x4x + 6Equals 54?
1046no
1150no
1254yes
1358no
1462no

Questions

What is x in 4x + 6 = 54?

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

How do you solve 4x + 6 = 54?

Subtract 6 from both sides to get 4x = 48, then divide both sides by 4 to get x = 12.

How do I check the answer?

Replace x by 12: 4(12) + 6 = 54, which is 54.

Similar equations

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