Question

how many solutions does the equation 5(x - 2)=8 + 5x have? desmos graphing calculator north carolina version a no solution b one solution c two solutions d infinitely many solutions

Explanation:

Step1: Expand the left - hand side

$5(x - 2)=5x-10$

Step2: Set up the new equation

$5x - 10=8 + 5x$

Step3: Subtract $5x$ from both sides

$5x-5x - 10=8+5x-5x$

Step4: Simplify

$- 10=8$

Since $-10
eq8$, this is a contradiction.

Answer:

A. no solution