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Solve 5x + 5 = 75

The solution of 5x + 5 = 75 is x = 14.

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The lines y = 5x + 5 and y = 75 meet at x = 148101214161820405060708090100110x = 14y = 5x + 5y = 75
The lines y = 5x + 5 and y = 75 meet at x = 14. 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+5=755x + 5 = 75
  2. 2

    Subtract 5 from both sides:

    5x+5−5=75−5 ⇒ 5x=705x + 5 - 5 = 75 - 5 \ \Rightarrow\ 5x = 70
  3. 3

    Divide both sides by 5:

    5x5=705 ⇒ x=14\frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    5⋅14+5=70+5=75✓5\cdot14 + 5 = 70 + 5 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 5 = 75\ \Rightarrow\ x = 14 \]
\[ 5x + 5 = 75 \]
\[ 5x + 5 - 5 = 75 - 5 \ \Rightarrow\ 5x = 70 \]
\[ \frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14 \]
\[ 5\cdot14 + 5 = 70 + 5 = 75 \checkmark \]

Trying values of x in 5x + 5 = 75

x5x + 5Equals 75?
1265no
1370no
1475yes
1580no
1685no

Questions

What is x in 5x + 5 = 75?

The solution of 5x + 5 = 75 is x = 14.

How do you solve 5x + 5 = 75?

Subtract 5 from both sides to get 5x = 70, then divide both sides by 5 to get x = 14.

How do I check the answer?

Replace x by 14: 5(14) + 5 = 75, which is 75.

Similar equations

    Solve 5x + 5 = 75: x = 14 (steps and check) | WordGPT