0.2(d-5)=0.3d+5-3+0.1d

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Solution for 0.2(d-5)=0.3d+5-3+0.1d equation:


Simplifying
0.2(d + -5) = 0.3d + 5 + -3 + 0.1d

Reorder the terms:
0.2(-5 + d) = 0.3d + 5 + -3 + 0.1d
(-5 * 0.2 + d * 0.2) = 0.3d + 5 + -3 + 0.1d
(-1 + 0.2d) = 0.3d + 5 + -3 + 0.1d

Reorder the terms:
-1 + 0.2d = 5 + -3 + 0.3d + 0.1d

Combine like terms: 5 + -3 = 2
-1 + 0.2d = 2 + 0.3d + 0.1d

Combine like terms: 0.3d + 0.1d = 0.4d
-1 + 0.2d = 2 + 0.4d

Solving
-1 + 0.2d = 2 + 0.4d

Solving for variable 'd'.

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

Add '-0.4d' to each side of the equation.
-1 + 0.2d + -0.4d = 2 + 0.4d + -0.4d

Combine like terms: 0.2d + -0.4d = -0.2d
-1 + -0.2d = 2 + 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
-1 + -0.2d = 2 + 0.0
-1 + -0.2d = 2

Add '1' to each side of the equation.
-1 + 1 + -0.2d = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -0.2d = 2 + 1
-0.2d = 2 + 1

Combine like terms: 2 + 1 = 3
-0.2d = 3

Divide each side by '-0.2'.
d = -15

Simplifying
d = -15

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