7=3(u+5)-5u

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


Simplifying
7 = 3(u + 5) + -5u

Reorder the terms:
7 = 3(5 + u) + -5u
7 = (5 * 3 + u * 3) + -5u
7 = (15 + 3u) + -5u

Combine like terms: 3u + -5u = -2u
7 = 15 + -2u

Solving
7 = 15 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
7 + 2u = 15 + -2u + 2u

Combine like terms: -2u + 2u = 0
7 + 2u = 15 + 0
7 + 2u = 15

Add '-7' to each side of the equation.
7 + -7 + 2u = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 2u = 15 + -7
2u = 15 + -7

Combine like terms: 15 + -7 = 8
2u = 8

Divide each side by '2'.
u = 4

Simplifying
u = 4

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