10+7d-15=10-2d-7+5d

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Solution for 10+7d-15=10-2d-7+5d equation:


Simplifying
10 + 7d + -15 = 10 + -2d + -7 + 5d

Reorder the terms:
10 + -15 + 7d = 10 + -2d + -7 + 5d

Combine like terms: 10 + -15 = -5
-5 + 7d = 10 + -2d + -7 + 5d

Reorder the terms:
-5 + 7d = 10 + -7 + -2d + 5d

Combine like terms: 10 + -7 = 3
-5 + 7d = 3 + -2d + 5d

Combine like terms: -2d + 5d = 3d
-5 + 7d = 3 + 3d

Solving
-5 + 7d = 3 + 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.
-5 + 7d + -3d = 3 + 3d + -3d

Combine like terms: 7d + -3d = 4d
-5 + 4d = 3 + 3d + -3d

Combine like terms: 3d + -3d = 0
-5 + 4d = 3 + 0
-5 + 4d = 3

Add '5' to each side of the equation.
-5 + 5 + 4d = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 4d = 3 + 5
4d = 3 + 5

Combine like terms: 3 + 5 = 8
4d = 8

Divide each side by '4'.
d = 2

Simplifying
d = 2

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