5(2u-3)+(4-u)3-2(u+7)=(2u-4)+2(6-u)

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Solution for 5(2u-3)+(4-u)3-2(u+7)=(2u-4)+2(6-u) equation:


Simplifying
5(2u + -3) + (4 + -1u) * 3 + -2(u + 7) = (2u + -4) + 2(6 + -1u)

Reorder the terms:
5(-3 + 2u) + (4 + -1u) * 3 + -2(u + 7) = (2u + -4) + 2(6 + -1u)
(-3 * 5 + 2u * 5) + (4 + -1u) * 3 + -2(u + 7) = (2u + -4) + 2(6 + -1u)
(-15 + 10u) + (4 + -1u) * 3 + -2(u + 7) = (2u + -4) + 2(6 + -1u)

Reorder the terms for easier multiplication:
-15 + 10u + 3(4 + -1u) + -2(u + 7) = (2u + -4) + 2(6 + -1u)
-15 + 10u + (4 * 3 + -1u * 3) + -2(u + 7) = (2u + -4) + 2(6 + -1u)
-15 + 10u + (12 + -3u) + -2(u + 7) = (2u + -4) + 2(6 + -1u)

Reorder the terms:
-15 + 10u + 12 + -3u + -2(7 + u) = (2u + -4) + 2(6 + -1u)
-15 + 10u + 12 + -3u + (7 * -2 + u * -2) = (2u + -4) + 2(6 + -1u)
-15 + 10u + 12 + -3u + (-14 + -2u) = (2u + -4) + 2(6 + -1u)

Reorder the terms:
-15 + 12 + -14 + 10u + -3u + -2u = (2u + -4) + 2(6 + -1u)

Combine like terms: -15 + 12 = -3
-3 + -14 + 10u + -3u + -2u = (2u + -4) + 2(6 + -1u)

Combine like terms: -3 + -14 = -17
-17 + 10u + -3u + -2u = (2u + -4) + 2(6 + -1u)

Combine like terms: 10u + -3u = 7u
-17 + 7u + -2u = (2u + -4) + 2(6 + -1u)

Combine like terms: 7u + -2u = 5u
-17 + 5u = (2u + -4) + 2(6 + -1u)

Reorder the terms:
-17 + 5u = (-4 + 2u) + 2(6 + -1u)

Remove parenthesis around (-4 + 2u)
-17 + 5u = -4 + 2u + 2(6 + -1u)
-17 + 5u = -4 + 2u + (6 * 2 + -1u * 2)
-17 + 5u = -4 + 2u + (12 + -2u)

Reorder the terms:
-17 + 5u = -4 + 12 + 2u + -2u

Combine like terms: -4 + 12 = 8
-17 + 5u = 8 + 2u + -2u

Combine like terms: 2u + -2u = 0
-17 + 5u = 8 + 0
-17 + 5u = 8

Solving
-17 + 5u = 8

Solving for variable 'u'.

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

Add '17' to each side of the equation.
-17 + 17 + 5u = 8 + 17

Combine like terms: -17 + 17 = 0
0 + 5u = 8 + 17
5u = 8 + 17

Combine like terms: 8 + 17 = 25
5u = 25

Divide each side by '5'.
u = 5

Simplifying
u = 5

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