Question

What is 22 + 5d = -8(7d-4)

Answer 1

22+5d=-8x7d=56d+ -8x-4=32

22+5d=-56d+32

22+32=54 and -56d+5d=-51d

The answer would be 51d+54

Answer 2

Remark

The steps are the same usually. Remove the brackets and collect like terms on each side of the equal sign.

Solution

22+5d = -8(7d - 4)          Remove the brackets.

22+5d = -56d + 32        Notice the sign change on 32. 2 minus quantities = a plus when multiplied.  Add 56d to both sides.

22 + 5d + 56d = - 56d + 56d + 32

22 + 61d = 32                  Subtract 22 from both sides.

61d = 32 - 22

61d = 10                            Divide by 51

d = 10/61

d = 0.1639  Answer

Check

LHS

22 + 5*0.1639 = 22.8197

RHS

-8(7*0.1639 - 4)

-8(1.1473 - 4)

-8(-2.8527)

22.8216    

The difference is a rounding error.