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Solve 5x + 10 = 75

The solution of 5x + 10 = 75 is x = 13.

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The lines y = 5x + 10 and y = 75 meet at x = 1381012141618405060708090100110x = 13y = 5x + 10y = 75
The lines y = 5x + 10 and y = 75 meet at x = 13. 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+10=755x + 10 = 75
  2. 2

    Subtract 10 from both sides:

    5x+10−10=75−10 ⇒ 5x=655x + 10 - 10 = 75 - 10 \ \Rightarrow\ 5x = 65
  3. 3

    Divide both sides by 5:

    5x5=655 ⇒ x=13\frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    5⋅13+10=65+10=75✓5\cdot13 + 10 = 65 + 10 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 10 = 75\ \Rightarrow\ x = 13 \]
\[ 5x + 10 = 75 \]
\[ 5x + 10 - 10 = 75 - 10 \ \Rightarrow\ 5x = 65 \]
\[ \frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13 \]
\[ 5\cdot13 + 10 = 65 + 10 = 75 \checkmark \]

Trying values of x in 5x + 10 = 75

x5x + 10Equals 75?
1165no
1270no
1375yes
1480no
1585no

Questions

What is x in 5x + 10 = 75?

The solution of 5x + 10 = 75 is x = 13.

How do you solve 5x + 10 = 75?

Subtract 10 from both sides to get 5x = 65, then divide both sides by 5 to get x = 13.

How do I check the answer?

Replace x by 13: 5(13) + 10 = 75, which is 75.

Similar equations

    Solve 5x + 10 = 75: x = 13 (steps and check) | WordGPT