5-0.1(d-2)=0.5(5d-2)

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Solution for 5-0.1(d-2)=0.5(5d-2) equation:


Simplifying
5 + -0.1(d + -2) = 0.5(5d + -2)

Reorder the terms:
5 + -0.1(-2 + d) = 0.5(5d + -2)
5 + (-2 * -0.1 + d * -0.1) = 0.5(5d + -2)
5 + (0.2 + -0.1d) = 0.5(5d + -2)

Combine like terms: 5 + 0.2 = 5.2
5.2 + -0.1d = 0.5(5d + -2)

Reorder the terms:
5.2 + -0.1d = 0.5(-2 + 5d)
5.2 + -0.1d = (-2 * 0.5 + 5d * 0.5)
5.2 + -0.1d = (-1 + 2.5d)

Solving
5.2 + -0.1d = -1 + 2.5d

Solving for variable 'd'.

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

Add '-2.5d' to each side of the equation.
5.2 + -0.1d + -2.5d = -1 + 2.5d + -2.5d

Combine like terms: -0.1d + -2.5d = -2.6d
5.2 + -2.6d = -1 + 2.5d + -2.5d

Combine like terms: 2.5d + -2.5d = 0.0
5.2 + -2.6d = -1 + 0.0
5.2 + -2.6d = -1

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -2.6d = -1 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -2.6d = -1 + -5.2
-2.6d = -1 + -5.2

Combine like terms: -1 + -5.2 = -6.2
-2.6d = -6.2

Divide each side by '-2.6'.
d = 2.384615385

Simplifying
d = 2.384615385

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