3(d-4)=5(d+2)

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Solution for 3(d-4)=5(d+2) equation:


Simplifying
3(d + -4) = 5(d + 2)

Reorder the terms:
3(-4 + d) = 5(d + 2)
(-4 * 3 + d * 3) = 5(d + 2)
(-12 + 3d) = 5(d + 2)

Reorder the terms:
-12 + 3d = 5(2 + d)
-12 + 3d = (2 * 5 + d * 5)
-12 + 3d = (10 + 5d)

Solving
-12 + 3d = 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.
-12 + 3d + -5d = 10 + 5d + -5d

Combine like terms: 3d + -5d = -2d
-12 + -2d = 10 + 5d + -5d

Combine like terms: 5d + -5d = 0
-12 + -2d = 10 + 0
-12 + -2d = 10

Add '12' to each side of the equation.
-12 + 12 + -2d = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -2d = 10 + 12
-2d = 10 + 12

Combine like terms: 10 + 12 = 22
-2d = 22

Divide each side by '-2'.
d = -11

Simplifying
d = -11

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