What is the answer to (x-7)/4+(25(x-2))/3 =(5x+15)/4+5/2 (x-7) ?

The answer to (x-7)/4+(25(x-2))/3 =(5x+15)/4+5/2 (x-7) is x= 28/29

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(x-7)/4+(25(x-2))/3 =(5x+15)/4+5/2 (x-7)

\frac{x - 7}{4} + \frac{25 ( x - 2 )}{3} = \frac{5 x + 15}{4} + \frac{5}{2} (x - 7)

x = \frac{28}{29}

Decimal Notation

x = 0.96551 \dots

Solution steps

\frac{x - 7}{4} + \frac{25 ( x - 2 )}{3} = \frac{5 x + 15}{4} + \frac{5}{2} (x - 7)

Multiply by LCM

3 (x - 7) + 100 (x - 2) = 3 (5 x + 15) + 30 (x - 7)

Expand

3 (x - 7) + 100 (x - 2) : 103 x - 221

Expand

3 (5 x + 15) + 30 (x - 7) : 45 x - 165

103 x - 221 = 45 x - 165

Move

221

to the right side

103 x = 45 x + 56

Move

45 x

to the left side

58 x = 56

Divide both sides by

58

x = \frac{28}{29}

x, 2 x - 5 y = 16

x, 2 x - 5 y = 26

a, 4 = a e^{0} + b e^{- 4 (0)} + 3 (0) e^{(0)}

y = 6 + 4

3 x - 3 (x - 4) = 5 - x

What is the answer to (x-7)/4+(25(x-2))/3 =(5x+15)/4+5/2 (x-7) ?
The answer to (x-7)/4+(25(x-2))/3 =(5x+15)/4+5/2 (x-7) is x= 28/29
Solve for x: (x-7)/4+(25(x-2))/3 =(5x+15)/4+5/2 (x-7)
The solution is x= 28/29