8-0.5(d-13)=0.6(12d-13)

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Solution for 8-0.5(d-13)=0.6(12d-13) equation: 


Simplifying
8 + -0.5(d + -13) = 0.6(12d + -13)

Reorder the terms:
8 + -0.5(-13 + d) = 0.6(12d + -13)
8 + (-13 * -0.5 + d * -0.5) = 0.6(12d + -13)
8 + (6.5 + -0.5d) = 0.6(12d + -13)

Combine like terms: 8 + 6.5 = 14.5
14.5 + -0.5d = 0.6(12d + -13)

Reorder the terms:
14.5 + -0.5d = 0.6(-13 + 12d)
14.5 + -0.5d = (-13 * 0.6 + 12d * 0.6)
14.5 + -0.5d = (-7.8 + 7.2d)

Solving
14.5 + -0.5d = -7.8 + 7.2d

Solving for variable 'd'.

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

Add '-7.2d' to each side of the equation.
14.5 + -0.5d + -7.2d = -7.8 + 7.2d + -7.2d

Combine like terms: -0.5d + -7.2d = -7.7d
14.5 + -7.7d = -7.8 + 7.2d + -7.2d

Combine like terms: 7.2d + -7.2d = 0.0
14.5 + -7.7d = -7.8 + 0.0
14.5 + -7.7d = -7.8

Add '-14.5' to each side of the equation.
14.5 + -14.5 + -7.7d = -7.8 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + -7.7d = -7.8 + -14.5
-7.7d = -7.8 + -14.5

Combine like terms: -7.8 + -14.5 = -22.3
-7.7d = -22.3

Divide each side by '-7.7'.
d = 2.896103896

Simplifying
d = 2.896103896

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