Q:

How many solutions does this equation have?2(2x− 1) = (x+ 1) + 3(x− 1)

Accepted Solution

A:
Here is an example of how to do the work :)Step-by-step explanation:Simplify the following algebraic expressions.    - 6x + 5 + 12x -6    2(x - 9) + 6(-x + 2) + 4x    3x2 + 12 + 9x - 20 + 6x2 - x (x + 2)(x + 4) + (x + 5)(-x - 1)1.2(x - 9) - 2.3(x + 4)(x2y)(xy2)(-x2y2)(xy2) Group like terms and simplify.- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - 6)= 6x - 1Expand brackets.2(x - 9) + 6(-x + 2) + 4x = 2x - 18 - 6x + 12 + 4xGroup like terms and simplify.= (2x - 6x + 4x) + (- 18 + 12) = - 6Group like terms and simplify.3x2 + 12 + 9x - 20 + 6x2 - x= (3x2 + 6x2) + (9x - x) + (12 - 20)= 9x2 + 8x - 8Expand brackets.(x + 2)(x + 4) + (x + 5)(- x - 1)= x2 + 4x + 2x + 8 - x2 - x - 5x - 5Group like terms.= (x2 - x2) + (4x + 2x - x - 5x) + (8 - 5)= 3