7(d-12)=5(d+2)

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Solution for 7(d-12)=5(d+2) equation:


Simplifying
7(d + -12) = 5(d + 2)

Reorder the terms:
7(-12 + d) = 5(d + 2)
(-12 * 7 + d * 7) = 5(d + 2)
(-84 + 7d) = 5(d + 2)

Reorder the terms:
-84 + 7d = 5(2 + d)
-84 + 7d = (2 * 5 + d * 5)
-84 + 7d = (10 + 5d)

Solving
-84 + 7d = 10 + 5d

Solving for variable 'd'.

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

Add '-5d' to each side of the equation.
-84 + 7d + -5d = 10 + 5d + -5d

Combine like terms: 7d + -5d = 2d
-84 + 2d = 10 + 5d + -5d

Combine like terms: 5d + -5d = 0
-84 + 2d = 10 + 0
-84 + 2d = 10

Add '84' to each side of the equation.
-84 + 84 + 2d = 10 + 84

Combine like terms: -84 + 84 = 0
0 + 2d = 10 + 84
2d = 10 + 84

Combine like terms: 10 + 84 = 94
2d = 94

Divide each side by '2'.
d = 47

Simplifying
d = 47

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