6(6x+15)=4

X=

1 answer

To solve the equation \(6(6x + 15) = 4\), follow these steps:

  1. Distribute the 6 on the left side: \[ 36x + 90 = 4 \]

  2. Subtract 90 from both sides: \[ 36x = 4 - 90 \] \[ 36x = -86 \]

  3. Divide both sides by 36: \[ x = \frac{-86}{36} \]

  4. Simplify the fraction: \[ x = \frac{-43}{18} \]

Thus, the solution is: \[ x = \frac{-43}{18} \]