3(2D-1)-2=4(D-2)+5

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Solution for 3(2D-1)-2=4(D-2)+5 equation:


Simplifying
3(2D + -1) + -2 = 4(D + -2) + 5

Reorder the terms:
3(-1 + 2D) + -2 = 4(D + -2) + 5
(-1 * 3 + 2D * 3) + -2 = 4(D + -2) + 5
(-3 + 6D) + -2 = 4(D + -2) + 5

Reorder the terms:
-3 + -2 + 6D = 4(D + -2) + 5

Combine like terms: -3 + -2 = -5
-5 + 6D = 4(D + -2) + 5

Reorder the terms:
-5 + 6D = 4(-2 + D) + 5
-5 + 6D = (-2 * 4 + D * 4) + 5
-5 + 6D = (-8 + 4D) + 5

Reorder the terms:
-5 + 6D = -8 + 5 + 4D

Combine like terms: -8 + 5 = -3
-5 + 6D = -3 + 4D

Solving
-5 + 6D = -3 + 4D

Solving for variable 'D'.

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

Add '-4D' to each side of the equation.
-5 + 6D + -4D = -3 + 4D + -4D

Combine like terms: 6D + -4D = 2D
-5 + 2D = -3 + 4D + -4D

Combine like terms: 4D + -4D = 0
-5 + 2D = -3 + 0
-5 + 2D = -3

Add '5' to each side of the equation.
-5 + 5 + 2D = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 2D = -3 + 5
2D = -3 + 5

Combine like terms: -3 + 5 = 2
2D = 2

Divide each side by '2'.
D = 1

Simplifying
D = 1

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