A new administration reforms a state's tax code. Corporate tax was increased by 3%, allowing the value-added tax on consumer goods to be reduced by 5%. `This had no net effect on the state budget as the two tax changes balanced each other out.

By increasing the corporate tax by 3%, the new administration aimed to generate more revenue from businesses operating in the state. This increase in corporate tax implies that businesses will pay a higher percentage of their profits to the state, potentially resulting in a larger inflow of funds into the state's budget.

On the other hand, the reduction in the value-added tax (VAT) on consumer goods by 5% aimed to provide relief to consumers by decreasing the tax burden on their purchases. VAT is a tax that is levied on goods and services at each stage of the production and distribution process, with consumers ultimately bearing the tax cost. By reducing the VAT, the new administration intended to promote consumer spending and potentially stimulate economic growth.

While the increase in corporate tax and the decrease in the VAT are seemingly opposite changes, they were designed to balance each other out in terms of their impact on the state budget. In theory, the additional revenue generated from the increased corporate tax should offset the reduction in revenue resulting from the reduced VAT. This means that the overall impact on the state's budget should be neutral, with no significant change in revenue.

However, it is important to note that the actual impact on the state budget can be influenced by various factors such as the state's economic conditions, the behavior of businesses and consumers in response to these tax changes, and any other modifications in the tax system. Additionally, changes in tax rates can have indirect effects on the overall economy and the state's revenue, which may not be fully accounted for in a simple analysis of tax rate adjustments.