2(5d-3)=7d-15-3d

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Solution for 2(5d-3)=7d-15-3d equation:


Simplifying
2(5d + -3) = 7d + -15 + -3d

Reorder the terms:
2(-3 + 5d) = 7d + -15 + -3d
(-3 * 2 + 5d * 2) = 7d + -15 + -3d
(-6 + 10d) = 7d + -15 + -3d

Reorder the terms:
-6 + 10d = -15 + 7d + -3d

Combine like terms: 7d + -3d = 4d
-6 + 10d = -15 + 4d

Solving
-6 + 10d = -15 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
-6 + 10d + -4d = -15 + 4d + -4d

Combine like terms: 10d + -4d = 6d
-6 + 6d = -15 + 4d + -4d

Combine like terms: 4d + -4d = 0
-6 + 6d = -15 + 0
-6 + 6d = -15

Add '6' to each side of the equation.
-6 + 6 + 6d = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 6d = -15 + 6
6d = -15 + 6

Combine like terms: -15 + 6 = -9
6d = -9

Divide each side by '6'.
d = -1.5

Simplifying
d = -1.5

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