What is the answer to 2/7-((x+8))/4 =(3(x-3))/5-3/2 ?

The answer to 2/7-((x+8))/4 =(3(x-3))/5-3/2 is x= 222/119

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2/7-((x+8))/4 =(3(x-3))/5-3/2

\frac{2}{7} - \frac{( x + 8 )}{4} = \frac{3 ( x - 3 )}{5} - \frac{3}{2}

x = \frac{222}{119}

Decimal Notation

x = 1.86554 \dots

Solution steps

\frac{2}{7} - \frac{( x + 8 )}{4} = \frac{3 ( x - 3 )}{5} - \frac{3}{2}

\frac{2}{7} - \frac{x + 8}{4} = \frac{3 ( x - 3 )}{5} - \frac{3}{2}

Multiply by LCM

40 - 35 (x + 8) = 84 (x - 3) - 210

Expand

40 - 35 (x + 8) : - 35 x - 240

Expand

84 (x - 3) - 210 : 84 x - 462

- 35 x - 240 = 84 x - 462

Move

240

to the right side

- 35 x = 84 x - 222

Move

84 x

to the left side

- 119 x = - 222

Divide both sides by

- 119

x = \frac{222}{119}

\frac{3}{4} (2 x + 4) = x + 19

x^{2} + 13 x > - 40

i^{15}

\frac{( - \frac{4}{3} ) + 8}{4 - ( - \frac{4}{3} )}

\frac{2}{8} = \frac{v}{12}

What is the answer to 2/7-((x+8))/4 =(3(x-3))/5-3/2 ?
The answer to 2/7-((x+8))/4 =(3(x-3))/5-3/2 is x= 222/119
Solve for x: 2/7-((x+8))/4 =(3(x-3))/5-3/2
The solution is x= 222/119