2(3d-1)-5=5(d-1)

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Solution for 2(3d-1)-5=5(d-1) equation:


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

Reorder the terms:
2(-1 + 3d) + -5 = 5(d + -1)
(-1 * 2 + 3d * 2) + -5 = 5(d + -1)
(-2 + 6d) + -5 = 5(d + -1)

Reorder the terms:
-2 + -5 + 6d = 5(d + -1)

Combine like terms: -2 + -5 = -7
-7 + 6d = 5(d + -1)

Reorder the terms:
-7 + 6d = 5(-1 + d)
-7 + 6d = (-1 * 5 + d * 5)
-7 + 6d = (-5 + 5d)

Solving
-7 + 6d = -5 + 5d

Solving for variable 'd'.

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

Add '-5d' to each side of the equation.
-7 + 6d + -5d = -5 + 5d + -5d

Combine like terms: 6d + -5d = 1d
-7 + 1d = -5 + 5d + -5d

Combine like terms: 5d + -5d = 0
-7 + 1d = -5 + 0
-7 + 1d = -5

Add '7' to each side of the equation.
-7 + 7 + 1d = -5 + 7

Combine like terms: -7 + 7 = 0
0 + 1d = -5 + 7
1d = -5 + 7

Combine like terms: -5 + 7 = 2
1d = 2

Divide each side by '1'.
d = 2

Simplifying
d = 2

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