5(d+15)=10(2d-3)

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Solution for 5(d+15)=10(2d-3) equation:


Simplifying
5(d + 15) = 10(2d + -3)

Reorder the terms:
5(15 + d) = 10(2d + -3)
(15 * 5 + d * 5) = 10(2d + -3)
(75 + 5d) = 10(2d + -3)

Reorder the terms:
75 + 5d = 10(-3 + 2d)
75 + 5d = (-3 * 10 + 2d * 10)
75 + 5d = (-30 + 20d)

Solving
75 + 5d = -30 + 20d

Solving for variable 'd'.

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

Add '-20d' to each side of the equation.
75 + 5d + -20d = -30 + 20d + -20d

Combine like terms: 5d + -20d = -15d
75 + -15d = -30 + 20d + -20d

Combine like terms: 20d + -20d = 0
75 + -15d = -30 + 0
75 + -15d = -30

Add '-75' to each side of the equation.
75 + -75 + -15d = -30 + -75

Combine like terms: 75 + -75 = 0
0 + -15d = -30 + -75
-15d = -30 + -75

Combine like terms: -30 + -75 = -105
-15d = -105

Divide each side by '-15'.
d = 7

Simplifying
d = 7

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