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Solve 5x + 14 = 29

The solution of 5x + 14 = 29 is x = 3.

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The lines y = 5x + 14 and y = 29 meet at x = 3-22468102030405060x = 3y = 5x + 14y = 29
The lines y = 5x + 14 and y = 29 meet at x = 3. 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=295x + 14 = 29
  2. 2

    Subtract 14 from both sides:

    5x+14−14=29−14 ⇒ 5x=155x + 14 - 14 = 29 - 14 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5⋅3+14=15+14=29✓5\cdot3 + 14 = 15 + 14 = 29 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 29\ \Rightarrow\ x = 3 \]
\[ 5x + 14 = 29 \]
\[ 5x + 14 - 14 = 29 - 14 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 + 14 = 15 + 14 = 29 \checkmark \]

Trying values of x in 5x + 14 = 29

x5x + 14Equals 29?
119no
224no
329yes
434no
539no

Questions

What is x in 5x + 14 = 29?

The solution of 5x + 14 = 29 is x = 3.

How do you solve 5x + 14 = 29?

Subtract 14 from both sides to get 5x = 15, then divide both sides by 5 to get x = 3.

How do I check the answer?

Replace x by 3: 5(3) + 14 = 29, which is 29.

Similar equations

    Solve 5x + 14 = 29: x = 3 (steps and check) | WordGPT