2(6d+1)=4(d-5)-2

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Solution for 2(6d+1)=4(d-5)-2 equation: 


Simplifying
2(6d + 1) = 4(d + -5) + -2

Reorder the terms:
2(1 + 6d) = 4(d + -5) + -2
(1 * 2 + 6d * 2) = 4(d + -5) + -2
(2 + 12d) = 4(d + -5) + -2

Reorder the terms:
2 + 12d = 4(-5 + d) + -2
2 + 12d = (-5 * 4 + d * 4) + -2
2 + 12d = (-20 + 4d) + -2

Reorder the terms:
2 + 12d = -20 + -2 + 4d

Combine like terms: -20 + -2 = -22
2 + 12d = -22 + 4d

Solving
2 + 12d = -22 + 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.
2 + 12d + -4d = -22 + 4d + -4d

Combine like terms: 12d + -4d = 8d
2 + 8d = -22 + 4d + -4d

Combine like terms: 4d + -4d = 0
2 + 8d = -22 + 0
2 + 8d = -22

Add '-2' to each side of the equation.
2 + -2 + 8d = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 8d = -22 + -2
8d = -22 + -2

Combine like terms: -22 + -2 = -24
8d = -24

Divide each side by '8'.
d = -3

Simplifying
d = -3

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