15+3(3u-1)=16-(2u-7)

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Solution for 15+3(3u-1)=16-(2u-7) equation:


Simplifying
15 + 3(3u + -1) = 16 + -1(2u + -7)

Reorder the terms:
15 + 3(-1 + 3u) = 16 + -1(2u + -7)
15 + (-1 * 3 + 3u * 3) = 16 + -1(2u + -7)
15 + (-3 + 9u) = 16 + -1(2u + -7)

Combine like terms: 15 + -3 = 12
12 + 9u = 16 + -1(2u + -7)

Reorder the terms:
12 + 9u = 16 + -1(-7 + 2u)
12 + 9u = 16 + (-7 * -1 + 2u * -1)
12 + 9u = 16 + (7 + -2u)

Combine like terms: 16 + 7 = 23
12 + 9u = 23 + -2u

Solving
12 + 9u = 23 + -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.
12 + 9u + 2u = 23 + -2u + 2u

Combine like terms: 9u + 2u = 11u
12 + 11u = 23 + -2u + 2u

Combine like terms: -2u + 2u = 0
12 + 11u = 23 + 0
12 + 11u = 23

Add '-12' to each side of the equation.
12 + -12 + 11u = 23 + -12

Combine like terms: 12 + -12 = 0
0 + 11u = 23 + -12
11u = 23 + -12

Combine like terms: 23 + -12 = 11
11u = 11

Divide each side by '11'.
u = 1

Simplifying
u = 1

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