5[d+4]=7[d-2]

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Solution for 5[d+4]=7[d-2] equation:


Simplifying
5[d + 4] = 7[d + -2]

Reorder the terms:
5[4 + d] = 7[d + -2]
[4 * 5 + d * 5] = 7[d + -2]
[20 + 5d] = 7[d + -2]

Reorder the terms:
20 + 5d = 7[-2 + d]
20 + 5d = [-2 * 7 + d * 7]
20 + 5d = [-14 + 7d]

Solving
20 + 5d = -14 + 7d

Solving for variable 'd'.

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

Add '-7d' to each side of the equation.
20 + 5d + -7d = -14 + 7d + -7d

Combine like terms: 5d + -7d = -2d
20 + -2d = -14 + 7d + -7d

Combine like terms: 7d + -7d = 0
20 + -2d = -14 + 0
20 + -2d = -14

Add '-20' to each side of the equation.
20 + -20 + -2d = -14 + -20

Combine like terms: 20 + -20 = 0
0 + -2d = -14 + -20
-2d = -14 + -20

Combine like terms: -14 + -20 = -34
-2d = -34

Divide each side by '-2'.
d = 17

Simplifying
d = 17

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