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Solve 5x + 9 = 49

The solution of 5x + 9 = 49 is x = 8.

The lines y = 5x + 9 and y = 49 meet at x = 8246810121420304050607080x = 8y = 5x + 9y = 49
The lines y = 5x + 9 and y = 49 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+9=495x + 9 = 49
  2. 2

    Subtract 9 from both sides:

    5x+9−9=49−9 ⇒ 5x=405x + 9 - 9 = 49 - 9 \ \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+9=40+9=49✓5\cdot8 + 9 = 40 + 9 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 9 = 49\ \Rightarrow\ x = 8 \]
\[ 5x + 9 = 49 \]
\[ 5x + 9 - 9 = 49 - 9 \ \Rightarrow\ 5x = 40 \]
\[ \frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8 \]
\[ 5\cdot8 + 9 = 40 + 9 = 49 \checkmark \]

Trying values of x in 5x + 9 = 49

x5x + 9Equals 49?
639no
744no
849yes
954no
1059no

Questions

What is x in 5x + 9 = 49?

The solution of 5x + 9 = 49 is x = 8.

How do you solve 5x + 9 = 49?

Subtract 9 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) + 9 = 49, which is 49.

Similar equations

    Solve 5x + 9 = 49: x = 8 (steps and check) | WordGPT