What is the answer to x-1/2 (8-x)=x+3(4-x)-x ?

The answer to x-1/2 (8-x)=x+3(4-x)-x is x= 32/9

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x-1/2 (8-x)=x+3(4-x)-x

x - \frac{1}{2} (8 - x) = x + 3 (4 - x) - x

x = \frac{32}{9}

Decimal Notation

x = 3.55555 \dots

Solution steps

x - \frac{1}{2} (8 - x) = x + 3 (4 - x) - x

Subtract

x

from both sides

x - \frac{1}{2} (8 - x) - x = x + 3 (4 - x) - x - x

Simplify

- \frac{1}{2} (8 - x) = 3 (4 - x) - x

Expand

3 (4 - x) : 12 - 3 x

- 4 + \frac{1}{2} x = 12 - 3 x - x

Add similar elements:

- 3 x - x = - 4 x

- 4 + \frac{1}{2} x = 12 - 4 x

Expand

- \frac{1}{2} (8 - x) : - 4 + \frac{1}{2} x

- 4 + \frac{1}{2} x = 12 - 4 x

Move

4

to the right side

\frac{1}{2} x = - 4 x + 16

Move

4 x

to the left side

\frac{9}{2} x = 16

Multiply both sides by

2

9 x = 32

Divide both sides by

9

x = \frac{32}{9}

x^{4} - 61 x^{2} + 900

x^{2}

lo g_{4} (\frac{4}{y})

(\frac{c ^{4} d ^{3}}{c d ^{2}}) (\frac{d ^{2}}{c ^{3}})^{3}

4 x - 6 > 6

What is the answer to x-1/2 (8-x)=x+3(4-x)-x ?
The answer to x-1/2 (8-x)=x+3(4-x)-x is x= 32/9
Solve for x: x-1/2 (8-x)=x+3(4-x)-x
The solution is x= 32/9