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

Question

5 how many solutions does the equation below have? -0.5(2 + x) + 3.15 = 2.15 - 0.5x answer: no solutions one solutions infinitely many solutions

Explanation:

Step1: Expand left-hand side

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

Step2: Simplify constants

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

Step3: Compare both sides

$2.15 -0.5x = 2.15 -0.5x$

Answer:

Infinitely many solutions