3(d-8)-5=9(d-2)+1

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Solution for 3(d-8)-5=9(d-2)+1 equation: 


Simplifying
3(d + -8) + -5 = 9(d + -2) + 1

Reorder the terms:
3(-8 + d) + -5 = 9(d + -2) + 1
(-8 * 3 + d * 3) + -5 = 9(d + -2) + 1
(-24 + 3d) + -5 = 9(d + -2) + 1

Reorder the terms:
-24 + -5 + 3d = 9(d + -2) + 1

Combine like terms: -24 + -5 = -29
-29 + 3d = 9(d + -2) + 1

Reorder the terms:
-29 + 3d = 9(-2 + d) + 1
-29 + 3d = (-2 * 9 + d * 9) + 1
-29 + 3d = (-18 + 9d) + 1

Reorder the terms:
-29 + 3d = -18 + 1 + 9d

Combine like terms: -18 + 1 = -17
-29 + 3d = -17 + 9d

Solving
-29 + 3d = -17 + 9d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-9d' to each side of the equation.
-29 + 3d + -9d = -17 + 9d + -9d

Combine like terms: 3d + -9d = -6d
-29 + -6d = -17 + 9d + -9d

Combine like terms: 9d + -9d = 0
-29 + -6d = -17 + 0
-29 + -6d = -17

Add '29' to each side of the equation.
-29 + 29 + -6d = -17 + 29

Combine like terms: -29 + 29 = 0
0 + -6d = -17 + 29
-6d = -17 + 29

Combine like terms: -17 + 29 = 12
-6d = 12

Divide each side by '-6'.
d = -2

Simplifying
d = -2

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