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

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.

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

22+5d=-56d+32

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

The answer would be 51d+54