What is the answer to 4/3 (1/2 v-3)+5=-1/4 v ?

The answer to 4/3 (1/2 v-3)+5=-1/4 v is v=-12/11

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4/3 (1/2 v-3)+5=-1/4 v

\frac{4}{3} (\frac{1}{2} v - 3) + 5 = - \frac{1}{4} v

v = - \frac{12}{11}

Decimal Notation

v = - 1.09090 \dots

Solution steps

\frac{4}{3} (\frac{1}{2} v - 3) + 5 = - \frac{1}{4} v

Expand

\frac{4}{3} (\frac{1}{2} v - 3) + 5 : \frac{2 v}{3} + 1

\frac{2 v}{3} + 1 = - \frac{1}{4} v

Move

1

to the right side

\frac{2 v}{3} = - \frac{1}{4} v - 1

Multiply by LCM

8 v = - 3 v - 12

Move

3 v

to the left side

11 v = - 12

Divide both sides by

11

v = - \frac{12}{11}

28 - (x - 5) = 2 (x - 1) + 5

2 x + 3 + 25 = 3 x - 17

\frac{x}{18} = \frac{2}{3}

x, 15 x - 11 y = - 87

x, 3 x - 3 y = 18

What is the answer to 4/3 (1/2 v-3)+5=-1/4 v ?
The answer to 4/3 (1/2 v-3)+5=-1/4 v is v=-12/11
Solve for v: 4/3 (1/2 v-3)+5=-1/4 v
The solution is v=-12/11