10-(3V-1)=5(9-V)

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Solution for 10-(3V-1)=5(9-V) equation: 


Simplifying
10 + -1(3V + -1) = 5(9 + -1V)

Reorder the terms:
10 + -1(-1 + 3V) = 5(9 + -1V)
10 + (-1 * -1 + 3V * -1) = 5(9 + -1V)
10 + (1 + -3V) = 5(9 + -1V)

Combine like terms: 10 + 1 = 11
11 + -3V = 5(9 + -1V)
11 + -3V = (9 * 5 + -1V * 5)
11 + -3V = (45 + -5V)

Solving
11 + -3V = 45 + -5V

Solving for variable 'V'.

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

Add '5V' to each side of the equation.
11 + -3V + 5V = 45 + -5V + 5V

Combine like terms: -3V + 5V = 2V
11 + 2V = 45 + -5V + 5V

Combine like terms: -5V + 5V = 0
11 + 2V = 45 + 0
11 + 2V = 45

Add '-11' to each side of the equation.
11 + -11 + 2V = 45 + -11

Combine like terms: 11 + -11 = 0
0 + 2V = 45 + -11
2V = 45 + -11

Combine like terms: 45 + -11 = 34
2V = 34

Divide each side by '2'.
V = 17

Simplifying
V = 17

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