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

Solve the equation: 6*(x-7) + 13x = 7*(2x-6) + 27

• Expand both sides: Left: 6x - 42 + 13x = 19x - 42 Right: 14x - 42 + 27 = 14x - 15

• Set equal: 19x - 42 = 14x - 15

• Move terms: 5x = 27

• Solve: x = 27/5

Check: both sides give 60.6 when x = 27/5, so the solution is x = 27/5.