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Solve 5x + 14 = 69

The solution of 5x + 14 = 69 is x = 11.

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The lines y = 5x + 14 and y = 69 meet at x = 116810121416405060708090100x = 11y = 5x + 14y = 69
The lines y = 5x + 14 and y = 69 meet at x = 11. 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=695x + 14 = 69
  2. 2

    Subtract 14 from both sides:

    5x+14−14=69−14 ⇒ 5x=555x + 14 - 14 = 69 - 14 \ \Rightarrow\ 5x = 55
  3. 3

    Divide both sides by 5:

    5x5=555 ⇒ x=11\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    5⋅11+14=55+14=69✓5\cdot11 + 14 = 55 + 14 = 69 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 69\ \Rightarrow\ x = 11 \]
\[ 5x + 14 = 69 \]
\[ 5x + 14 - 14 = 69 - 14 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 14 = 55 + 14 = 69 \checkmark \]

Trying values of x in 5x + 14 = 69

x5x + 14Equals 69?
959no
1064no
1169yes
1274no
1379no

Questions

What is x in 5x + 14 = 69?

The solution of 5x + 14 = 69 is x = 11.

How do you solve 5x + 14 = 69?

Subtract 14 from both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) + 14 = 69, which is 69.

Similar equations

    Solve 5x + 14 = 69: x = 11 (steps and check) | WordGPT