4(6x+1)=−2(2x+8)+6

Sure, let's solve the equation step by step:

1. First, distribute the numbers outside the parentheses on both sides of the equation:

   46x + 41 = -22x - 28 + 6 24x + 4 = -4x - 16 + 6

2. Simplify both sides of the equation:

   24x + 4 = -4x - 10

3. Move the x terms to one side and the constants to the other side:

   24x + 4x = -10 - 4 28x = -14

4. Finally, solve for x by dividing both sides by 28:

   x = -14 / 28 x = -0.5

So, the solution to the equation 4(6x+1)=−2(2x+8)+6 is x = -0.5.