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

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


Simplifying
2(5 + -1u) = -3(2u + 6)
(5 * 2 + -1u * 2) = -3(2u + 6)
(10 + -2u) = -3(2u + 6)

Reorder the terms:
10 + -2u = -3(6 + 2u)
10 + -2u = (6 * -3 + 2u * -3)
10 + -2u = (-18 + -6u)

Solving
10 + -2u = -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.
10 + -2u + 6u = -18 + -6u + 6u

Combine like terms: -2u + 6u = 4u
10 + 4u = -18 + -6u + 6u

Combine like terms: -6u + 6u = 0
10 + 4u = -18 + 0
10 + 4u = -18

Add '-10' to each side of the equation.
10 + -10 + 4u = -18 + -10

Combine like terms: 10 + -10 = 0
0 + 4u = -18 + -10
4u = -18 + -10

Combine like terms: -18 + -10 = -28
4u = -28

Divide each side by '4'.
u = -7

Simplifying
u = -7

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