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Solve 5x + 15 = 65

The solution of 5x + 15 = 65 is x = 10.

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The lines y = 5x + 15 and y = 65 meet at x = 104681012141630405060708090100x = 10y = 5x + 15y = 65
The lines y = 5x + 15 and y = 65 meet at x = 10. 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+15=655x + 15 = 65
  2. 2

    Subtract 15 from both sides:

    5x+15−15=65−15 ⇒ 5x=505x + 15 - 15 = 65 - 15 \ \Rightarrow\ 5x = 50
  3. 3

    Divide both sides by 5:

    5x5=505 ⇒ x=10\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    5⋅10+15=50+15=65✓5\cdot10 + 15 = 50 + 15 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 15 = 65\ \Rightarrow\ x = 10 \]
\[ 5x + 15 = 65 \]
\[ 5x + 15 - 15 = 65 - 15 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 15 = 50 + 15 = 65 \checkmark \]

Trying values of x in 5x + 15 = 65

x5x + 15Equals 65?
855no
960no
1065yes
1170no
1275no

Questions

What is x in 5x + 15 = 65?

The solution of 5x + 15 = 65 is x = 10.

How do you solve 5x + 15 = 65?

Subtract 15 from both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) + 15 = 65, which is 65.

Similar equations

    Solve 5x + 15 = 65: x = 10 (steps and check) | WordGPT