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Solve 3x + 15 = 54

The solution of 3x + 15 = 54 is x = 13.

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The lines y = 3x + 15 and y = 54 meet at x = 1381012141618354045505560657075x = 13y = 3x + 15y = 54
The lines y = 3x + 15 and y = 54 meet at x = 13. 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+15=543x + 15 = 54
  2. 2

    Subtract 15 from both sides:

    3x+15−15=54−15 ⇒ 3x=393x + 15 - 15 = 54 - 15 \ \Rightarrow\ 3x = 39
  3. 3

    Divide both sides by 3:

    3x3=393 ⇒ x=13\frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    3⋅13+15=39+15=54✓3\cdot13 + 15 = 39 + 15 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 15 = 54\ \Rightarrow\ x = 13 \]
\[ 3x + 15 = 54 \]
\[ 3x + 15 - 15 = 54 - 15 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 15 = 39 + 15 = 54 \checkmark \]

Trying values of x in 3x + 15 = 54

x3x + 15Equals 54?
1148no
1251no
1354yes
1457no
1560no

Questions

What is x in 3x + 15 = 54?

The solution of 3x + 15 = 54 is x = 13.

How do you solve 3x + 15 = 54?

Subtract 15 from both sides to get 3x = 39, then divide both sides by 3 to get x = 13.

How do I check the answer?

Replace x by 13: 3(13) + 15 = 54, which is 54.

Similar equations

    Solve 3x + 15 = 54: x = 13 (steps and check) | WordGPT