2[3(2+v)-(-v)]=5(v+3)-2(1-v)

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Solution for 2[3(2+v)-(-v)]=5(v+3)-2(1-v) equation:


Simplifying
2[3(2 + v) + -1(-1v)] = 5(v + 3) + -2(1 + -1v)
2[(2 * 3 + v * 3) + -1(-1v)] = 5(v + 3) + -2(1 + -1v)
2[(6 + 3v) + -1(-1v)] = 5(v + 3) + -2(1 + -1v)

Remove parenthesis around (-1v)
2[6 + 3v + -1 * -1v] = 5(v + 3) + -2(1 + -1v)

Multiply -1 * -1
2[6 + 3v + 1v] = 5(v + 3) + -2(1 + -1v)

Combine like terms: 3v + 1v = 4v
2[6 + 4v] = 5(v + 3) + -2(1 + -1v)
[6 * 2 + 4v * 2] = 5(v + 3) + -2(1 + -1v)
[12 + 8v] = 5(v + 3) + -2(1 + -1v)

Reorder the terms:
12 + 8v = 5(3 + v) + -2(1 + -1v)
12 + 8v = (3 * 5 + v * 5) + -2(1 + -1v)
12 + 8v = (15 + 5v) + -2(1 + -1v)
12 + 8v = 15 + 5v + (1 * -2 + -1v * -2)
12 + 8v = 15 + 5v + (-2 + 2v)

Reorder the terms:
12 + 8v = 15 + -2 + 5v + 2v

Combine like terms: 15 + -2 = 13
12 + 8v = 13 + 5v + 2v

Combine like terms: 5v + 2v = 7v
12 + 8v = 13 + 7v

Solving
12 + 8v = 13 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
12 + 8v + -7v = 13 + 7v + -7v

Combine like terms: 8v + -7v = 1v
12 + 1v = 13 + 7v + -7v

Combine like terms: 7v + -7v = 0
12 + 1v = 13 + 0
12 + 1v = 13

Add '-12' to each side of the equation.
12 + -12 + 1v = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 1v = 13 + -12
1v = 13 + -12

Combine like terms: 13 + -12 = 1
1v = 1

Divide each side by '1'.
v = 1

Simplifying
v = 1

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