3(d-8)-5=9(d-12)+1

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Solution for 3(d-8)-5=9(d-12)+1 equation: 


Simplifying
3(d + -8) + -5 = 9(d + -12) + 1

Reorder the terms:
3(-8 + d) + -5 = 9(d + -12) + 1
(-8 * 3 + d * 3) + -5 = 9(d + -12) + 1
(-24 + 3d) + -5 = 9(d + -12) + 1

Reorder the terms:
-24 + -5 + 3d = 9(d + -12) + 1

Combine like terms: -24 + -5 = -29
-29 + 3d = 9(d + -12) + 1

Reorder the terms:
-29 + 3d = 9(-12 + d) + 1
-29 + 3d = (-12 * 9 + d * 9) + 1
-29 + 3d = (-108 + 9d) + 1

Reorder the terms:
-29 + 3d = -108 + 1 + 9d

Combine like terms: -108 + 1 = -107
-29 + 3d = -107 + 9d

Solving
-29 + 3d = -107 + 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 = -107 + 9d + -9d

Combine like terms: 3d + -9d = -6d
-29 + -6d = -107 + 9d + -9d

Combine like terms: 9d + -9d = 0
-29 + -6d = -107 + 0
-29 + -6d = -107

Add '29' to each side of the equation.
-29 + 29 + -6d = -107 + 29

Combine like terms: -29 + 29 = 0
0 + -6d = -107 + 29
-6d = -107 + 29

Combine like terms: -107 + 29 = -78
-6d = -78

Divide each side by '-6'.
d = 13

Simplifying
d = 13

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