2+d=2-3(d-5)-2

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


Simplifying
2 + d = 2 + -3(d + -5) + -2

Reorder the terms:
2 + d = 2 + -3(-5 + d) + -2
2 + d = 2 + (-5 * -3 + d * -3) + -2
2 + d = 2 + (15 + -3d) + -2

Reorder the terms:
2 + d = 2 + 15 + -2 + -3d

Combine like terms: 2 + 15 = 17
2 + d = 17 + -2 + -3d

Combine like terms: 17 + -2 = 15
2 + d = 15 + -3d

Solving
2 + d = 15 + -3d

Solving for variable 'd'.

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

Add '3d' to each side of the equation.
2 + d + 3d = 15 + -3d + 3d

Combine like terms: d + 3d = 4d
2 + 4d = 15 + -3d + 3d

Combine like terms: -3d + 3d = 0
2 + 4d = 15 + 0
2 + 4d = 15

Add '-2' to each side of the equation.
2 + -2 + 4d = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 4d = 15 + -2
4d = 15 + -2

Combine like terms: 15 + -2 = 13
4d = 13

Divide each side by '4'.
d = 3.25

Simplifying
d = 3.25

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