WordGPT

Solve 5x + 9 = 14

The solution of 5x + 9 = 14 is x = 1.

The lines y = 5x + 9 and y = 14 meet at x = 1-4-2246-20-101020304050x = 1y = 5x + 9y = 14
The lines y = 5x + 9 and y = 14 meet at x = 1. 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+9=145x + 9 = 14
  2. 2

    Subtract 9 from both sides:

    5x+9−9=14−9 ⇒ 5x=55x + 9 - 9 = 14 - 9 \ \Rightarrow\ 5x = 5
  3. 3

    Divide both sides by 5:

    5x5=55 ⇒ x=1\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    5⋅1+9=5+9=14✓5\cdot1 + 9 = 5 + 9 = 14 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 9 = 14\ \Rightarrow\ x = 1 \]
\[ 5x + 9 = 14 \]
\[ 5x + 9 - 9 = 14 - 9 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 + 9 = 5 + 9 = 14 \checkmark \]

Trying values of x in 5x + 9 = 14

x5x + 9Equals 14?
-14no
09no
114yes
219no
324no

Questions

What is x in 5x + 9 = 14?

The solution of 5x + 9 = 14 is x = 1.

How do you solve 5x + 9 = 14?

Subtract 9 from both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) + 9 = 14, which is 14.

Similar equations

    Solve 5x + 9 = 14: x = 1 (steps and check) | WordGPT