What is the answer to x/2-1/2 (12-x)=7x+3(8-x)-8 ?

The answer to x/2-1/2 (12-x)=7x+3(8-x)-8 is x=-22/3

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x/2-1/2 (12-x)=7x+3(8-x)-8

\frac{x}{2} - \frac{1}{2} (12 - x) = 7 x + 3 (8 - x) - 8

x = - \frac{22}{3}

Decimal Notation

x = - 7.33333 \dots

Solution steps

\frac{x}{2} - \frac{1}{2} (12 - x) = 7 x + 3 (8 - x) - 8

Multiply both sides by

2

x - (12 - x) = 14 x + 6 (8 - x) - 16

Expand

x - (12 - x) : 2 x - 12

Expand

14 x + 6 (8 - x) - 16 : 8 x + 32

2 x - 12 = 8 x + 32

Move

12

to the right side

2 x = 8 x + 44

Move

8 x

to the left side

- 6 x = 44

Divide both sides by

- 6

x = - \frac{22}{3}

12 x^{2} - 7 x - 12 = 0

\frac{3 ^{2}}{3 ^{5}}

2 x^{2} + 5 x - 2 = 3 x (5 x + 2)

\frac{1}{3} (2 x - \frac{3}{7}) + \frac{1}{6} x = \frac{4}{7}

36 a^{2} - 121

What is the answer to x/2-1/2 (12-x)=7x+3(8-x)-8 ?
The answer to x/2-1/2 (12-x)=7x+3(8-x)-8 is x=-22/3
Solve for x: x/2-1/2 (12-x)=7x+3(8-x)-8
The solution is x=-22/3