5(u-2)+6=3(6-2u)

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Solution for 5(u-2)+6=3(6-2u) equation:


Simplifying
5(u + -2) + 6 = 3(6 + -2u)

Reorder the terms:
5(-2 + u) + 6 = 3(6 + -2u)
(-2 * 5 + u * 5) + 6 = 3(6 + -2u)
(-10 + 5u) + 6 = 3(6 + -2u)

Reorder the terms:
-10 + 6 + 5u = 3(6 + -2u)

Combine like terms: -10 + 6 = -4
-4 + 5u = 3(6 + -2u)
-4 + 5u = (6 * 3 + -2u * 3)
-4 + 5u = (18 + -6u)

Solving
-4 + 5u = 18 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
-4 + 5u + 6u = 18 + -6u + 6u

Combine like terms: 5u + 6u = 11u
-4 + 11u = 18 + -6u + 6u

Combine like terms: -6u + 6u = 0
-4 + 11u = 18 + 0
-4 + 11u = 18

Add '4' to each side of the equation.
-4 + 4 + 11u = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 11u = 18 + 4
11u = 18 + 4

Combine like terms: 18 + 4 = 22
11u = 22

Divide each side by '11'.
u = 2

Simplifying
u = 2

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