5(3d-6)-5=3(d+1)-2

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Solution for 5(3d-6)-5=3(d+1)-2 equation:


Simplifying
5(3d + -6) + -5 = 3(d + 1) + -2

Reorder the terms:
5(-6 + 3d) + -5 = 3(d + 1) + -2
(-6 * 5 + 3d * 5) + -5 = 3(d + 1) + -2
(-30 + 15d) + -5 = 3(d + 1) + -2

Reorder the terms:
-30 + -5 + 15d = 3(d + 1) + -2

Combine like terms: -30 + -5 = -35
-35 + 15d = 3(d + 1) + -2

Reorder the terms:
-35 + 15d = 3(1 + d) + -2
-35 + 15d = (1 * 3 + d * 3) + -2
-35 + 15d = (3 + 3d) + -2

Reorder the terms:
-35 + 15d = 3 + -2 + 3d

Combine like terms: 3 + -2 = 1
-35 + 15d = 1 + 3d

Solving
-35 + 15d = 1 + 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.
-35 + 15d + -3d = 1 + 3d + -3d

Combine like terms: 15d + -3d = 12d
-35 + 12d = 1 + 3d + -3d

Combine like terms: 3d + -3d = 0
-35 + 12d = 1 + 0
-35 + 12d = 1

Add '35' to each side of the equation.
-35 + 35 + 12d = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 12d = 1 + 35
12d = 1 + 35

Combine like terms: 1 + 35 = 36
12d = 36

Divide each side by '12'.
d = 3

Simplifying
d = 3

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