Q:

Solve -2x+3=-3x+2 and is it no solution One solution or infinitely many solutions. ​

Accepted Solution

A:
Answer is =-1implifying -2x + 3 = -3x + 2 Reorder the terms: 3 + -2x = -3x + 2 Reorder the terms: 3 + -2x = 2 + -3x Solving 3 + -2x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x 3 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 1x = 2 + 0 3 + 1x = 2 Add '-3' to each side of the equation. 3 + -3 + 1x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 2 + -3 1x = 2 + -3 Combine like terms: 2 + -3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1