4(d+5.2)=10d-6.2

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Solution for 4(d+5.2)=10d-6.2 equation: 


Simplifying
4(d + 5.2) = 10d + -6.2

Reorder the terms:
4(5.2 + d) = 10d + -6.2
(5.2 * 4 + d * 4) = 10d + -6.2
(20.8 + 4d) = 10d + -6.2

Reorder the terms:
20.8 + 4d = -6.2 + 10d

Solving
20.8 + 4d = -6.2 + 10d

Solving for variable 'd'.

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

Add '-10d' to each side of the equation.
20.8 + 4d + -10d = -6.2 + 10d + -10d

Combine like terms: 4d + -10d = -6d
20.8 + -6d = -6.2 + 10d + -10d

Combine like terms: 10d + -10d = 0
20.8 + -6d = -6.2 + 0
20.8 + -6d = -6.2

Add '-20.8' to each side of the equation.
20.8 + -20.8 + -6d = -6.2 + -20.8

Combine like terms: 20.8 + -20.8 = 0.0
0.0 + -6d = -6.2 + -20.8
-6d = -6.2 + -20.8

Combine like terms: -6.2 + -20.8 = -27
-6d = -27

Divide each side by '-6'.
d = 4.5

Simplifying
d = 4.5

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