2(4+3x)=x-13

Solve the equation 2(4+3x) = x - 13.

• Distribute: 2(4) + 2(3x) = 8 + 6x
• So 8 + 6x = x - 13
• Move x terms to one side: 6x - x = -13 - 8 → 5x = -21
• Solve: x = -21/5

Check: Left = 2(4 + 3(-21/5)) = 2(4 - 63/5) = 2(-43/5) = -86/5; Right = -21/5 - 13 = -21/5 - 65/5 = -86/5. OK.

Answer: x = -21/5 (or -4.2).