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Solve 5x + 14 = 54

The solution of 5x + 14 = 54 is x = 8.

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The lines y = 5x + 14 and y = 54 meet at x = 824681012142030405060708090x = 8y = 5x + 14y = 54
The lines y = 5x + 14 and y = 54 meet at x = 8. 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.

    5x+14=545x + 14 = 54
  2. 2

    Subtract 14 from both sides:

    5x+14−14=54−14 ⇒ 5x=405x + 14 - 14 = 54 - 14 \ \Rightarrow\ 5x = 40
  3. 3

    Divide both sides by 5:

    5x5=405 ⇒ x=8\frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    5⋅8+14=40+14=54✓5\cdot8 + 14 = 40 + 14 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 54\ \Rightarrow\ x = 8 \]
\[ 5x + 14 = 54 \]
\[ 5x + 14 - 14 = 54 - 14 \ \Rightarrow\ 5x = 40 \]
\[ \frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8 \]
\[ 5\cdot8 + 14 = 40 + 14 = 54 \checkmark \]

Trying values of x in 5x + 14 = 54

x5x + 14Equals 54?
644no
749no
854yes
959no
1064no

Questions

What is x in 5x + 14 = 54?

The solution of 5x + 14 = 54 is x = 8.

How do you solve 5x + 14 = 54?

Subtract 14 from both sides to get 5x = 40, then divide both sides by 5 to get x = 8.

How do I check the answer?

Replace x by 8: 5(8) + 14 = 54, which is 54.

Similar equations

    Solve 5x + 14 = 54: x = 8 (steps and check) | WordGPT