5(3d-1)=2(d+7)

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Solution for 5(3d-1)=2(d+7) equation:


Simplifying
5(3d + -1) = 2(d + 7)

Reorder the terms:
5(-1 + 3d) = 2(d + 7)
(-1 * 5 + 3d * 5) = 2(d + 7)
(-5 + 15d) = 2(d + 7)

Reorder the terms:
-5 + 15d = 2(7 + d)
-5 + 15d = (7 * 2 + d * 2)
-5 + 15d = (14 + 2d)

Solving
-5 + 15d = 14 + 2d

Solving for variable 'd'.

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

Add '-2d' to each side of the equation.
-5 + 15d + -2d = 14 + 2d + -2d

Combine like terms: 15d + -2d = 13d
-5 + 13d = 14 + 2d + -2d

Combine like terms: 2d + -2d = 0
-5 + 13d = 14 + 0
-5 + 13d = 14

Add '5' to each side of the equation.
-5 + 5 + 13d = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 13d = 14 + 5
13d = 14 + 5

Combine like terms: 14 + 5 = 19
13d = 19

Divide each side by '13'.
d = 1.461538462

Simplifying
d = 1.461538462

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