3x - 4 = 2x 5 Which could be the first step in solving the equation represented by the model below?

The first step would be to gather all like terms onto the same side of the "=".

so,

the "-4" needs to be on the right and would become "+4".

the "2x" would need to be on the left side and would become "-2×"

the new equation would be:

3x-2x = 5+4

in turn, the solution would be:

x = 9

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0