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Solve for x.

2/5(10x+15)=26

(1 point)
Responses

x = 5
x = 5

x = 12
x = 12

x = 7
x = 7

x = 3

1 answer

To solve the equation \( \frac{2}{5}(10x + 15) = 26 \), follow these steps:

  1. Multiply both sides by \( 5 \) to eliminate the fraction:

    \[ 2(10x + 15) = 130 \]

  2. Divide both sides by \( 2 \):

    \[ 10x + 15 = 65 \]

  3. Subtract \( 15 \) from both sides:

    \[ 10x = 50 \]

  4. Divide by \( 10 \):

    \[ x = 5 \]

The solution is \( x = 5 \).

Answer: x = 5