Question

how many solutions does the following equation have: 6x + 8 = 7x + 13

Explanation:

Step1: Simplify the equation

Start with the equation \(6x + 8 = 7x + 13\). Subtract \(6x\) from both sides: \(6x - 6x + 8 = 7x - 6x + 13\), which simplifies to \(8 = x + 13\).

Step2: Solve for \(x\)

Subtract 13 from both sides: \(8 - 13 = x + 13 - 13\), so \(-5 = x\). Since we found a unique value for \(x\), the equation has one solution.

Answer:

One solution