Question

how many solutions does the equation below have? -0.5(2 + x)+3.15 = 2.15 - 0.5x

Explanation:

Step1: Expand the left - hand side

$-0.5(2 + x)+3.15=-1 - 0.5x+3.15$

Step2: Simplify the left - hand side

$-1 - 0.5x+3.15=2.15 - 0.5x$

Step3: Analyze the equation

The left - hand side $2.15 - 0.5x$ is equal to the right - hand side $2.15 - 0.5x$. This means the equation is an identity.

Answer:

Infinite solutions