Holly wants to buy a new house in Cardiff.
She knows that Land Transaction Tax will be added to the price of the house.

Land Transaction Tax rates are shown below:
• pay nothing on the first £180000 of the price of the house,
• pay 3·5% on the part of the price of the house that is above £180000 and up to and including £250000,
• pay 5% on the part of the price of the house that is above £250000 and up to and including £400000.

The most Holly can afford to spend, including Land Transaction Tax, is £327000.

Let x be the highest price of house that Holly can afford.
Write an equation in x and solve it to calculate the highest price of house that Holly can afford.