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Solve 5x + 14 = 24

The solution of 5x + 14 = 24 is x = 2.

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The lines y = 5x + 14 and y = 24 meet at x = 2-4-22468-10102030405060x = 2y = 5x + 14y = 24
The lines y = 5x + 14 and y = 24 meet at x = 2. 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=245x + 14 = 24
  2. 2

    Subtract 14 from both sides:

    5x+14−14=24−14 ⇒ 5x=105x + 14 - 14 = 24 - 14 \ \Rightarrow\ 5x = 10
  3. 3

    Divide both sides by 5:

    5x5=105 ⇒ x=2\frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    5⋅2+14=10+14=24✓5\cdot2 + 14 = 10 + 14 = 24 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 24\ \Rightarrow\ x = 2 \]
\[ 5x + 14 = 24 \]
\[ 5x + 14 - 14 = 24 - 14 \ \Rightarrow\ 5x = 10 \]
\[ \frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2 \]
\[ 5\cdot2 + 14 = 10 + 14 = 24 \checkmark \]

Trying values of x in 5x + 14 = 24

x5x + 14Equals 24?
014no
119no
224yes
329no
434no

Questions

What is x in 5x + 14 = 24?

The solution of 5x + 14 = 24 is x = 2.

How do you solve 5x + 14 = 24?

Subtract 14 from both sides to get 5x = 10, then divide both sides by 5 to get x = 2.

How do I check the answer?

Replace x by 2: 5(2) + 14 = 24, which is 24.

Similar equations

    Solve 5x + 14 = 24: x = 2 (steps and check) | WordGPT