6*(x-7)+13x=7*(2x-6)+27

Solve the linear equation by expanding both sides.

• Left: 6(x-7) + 13x = 6x - 42 + 13x = 19x - 42
• Right: 7(2x-6) + 27 = 14x - 42 + 27 = 14x - 15

Set equal: 19x - 42 = 14x - 15 5x = 27 x = 27/5

Verification: Left = 6(x-7) + 13x = 19x - 42; with x=27/5 → 303/5 Right = 7(2x-6) + 27 = 14x - 15; with x=27/5 → 303/5

So, x = 27/5.