0.8(2u-3)=(2u+4)*0.6

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Solution for 0.8(2u-3)=(2u+4)*0.6 equation: 


Simplifying
0.8(2u + -3) = (2u + 4) * 0.6

Reorder the terms:
0.8(-3 + 2u) = (2u + 4) * 0.6
(-3 * 0.8 + 2u * 0.8) = (2u + 4) * 0.6
(-2.4 + 1.6u) = (2u + 4) * 0.6

Reorder the terms:
-2.4 + 1.6u = (4 + 2u) * 0.6

Reorder the terms for easier multiplication:
-2.4 + 1.6u = 0.6(4 + 2u)
-2.4 + 1.6u = (4 * 0.6 + 2u * 0.6)
-2.4 + 1.6u = (2.4 + 1.2u)

Solving
-2.4 + 1.6u = 2.4 + 1.2u

Solving for variable 'u'.

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

Add '-1.2u' to each side of the equation.
-2.4 + 1.6u + -1.2u = 2.4 + 1.2u + -1.2u

Combine like terms: 1.6u + -1.2u = 0.4u
-2.4 + 0.4u = 2.4 + 1.2u + -1.2u

Combine like terms: 1.2u + -1.2u = 0.0
-2.4 + 0.4u = 2.4 + 0.0
-2.4 + 0.4u = 2.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.4u = 2.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.4u = 2.4 + 2.4
0.4u = 2.4 + 2.4

Combine like terms: 2.4 + 2.4 = 4.8
0.4u = 4.8

Divide each side by '0.4'.
u = 12

Simplifying
u = 12

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