5d-(d+3)=(d+2)+7

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Solution for 5d-(d+3)=(d+2)+7 equation:


Simplifying
5d + -1(d + 3) = (d + 2) + 7

Reorder the terms:
5d + -1(3 + d) = (d + 2) + 7
5d + (3 * -1 + d * -1) = (d + 2) + 7
5d + (-3 + -1d) = (d + 2) + 7

Reorder the terms:
-3 + 5d + -1d = (d + 2) + 7

Combine like terms: 5d + -1d = 4d
-3 + 4d = (d + 2) + 7

Reorder the terms:
-3 + 4d = (2 + d) + 7

Remove parenthesis around (2 + d)
-3 + 4d = 2 + d + 7

Reorder the terms:
-3 + 4d = 2 + 7 + d

Combine like terms: 2 + 7 = 9
-3 + 4d = 9 + d

Solving
-3 + 4d = 9 + d

Solving for variable 'd'.

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

Add '-1d' to each side of the equation.
-3 + 4d + -1d = 9 + d + -1d

Combine like terms: 4d + -1d = 3d
-3 + 3d = 9 + d + -1d

Combine like terms: d + -1d = 0
-3 + 3d = 9 + 0
-3 + 3d = 9

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

Combine like terms: -3 + 3 = 0
0 + 3d = 9 + 3
3d = 9 + 3

Combine like terms: 9 + 3 = 12
3d = 12

Divide each side by '3'.
d = 4

Simplifying
d = 4

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