What is the answer to ((-x+4))/5 =(-2+(7x-1))/2 ?

The answer to ((-x+4))/5 =(-2+(7x-1))/2 is x= 23/37

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((-x+4))/5 =(-2+(7x-1))/2

\frac{( - x + 4 )}{5} = \frac{- 2 + ( 7 x - 1 )}{2}

x = \frac{23}{37}

Decimal Notation

x = 0.62162 \dots

Solution steps

\frac{( - x + 4 )}{5} = \frac{- 2 + ( 7 x - 1 )}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(- x + 4) \cdot 2 = 5 (- 2 + 7 x - 1)

Simplify

(- x + 4) \cdot 2 = 5 (7 x - 3)

Expand

(- x + 4) \cdot 2 : - 2 x + 8

Expand

5 (7 x - 3) : 35 x - 15

- 2 x + 8 = 35 x - 15

Move

8

to the right side

- 2 x = 35 x - 23

Move

35 x

to the left side

- 37 x = - 23

Divide both sides by

- 37

x = \frac{23}{37}

x, 4 x + 3 y = 17

x, 4 x + 3 y = 16

\frac{3}{4} x + 6 = 12

3^{4} + 3^{3} = 3^{(4 + 3)}

(\frac{3}{5}) x + 1 = \frac{25}{9}

What is the answer to ((-x+4))/5 =(-2+(7x-1))/2 ?
The answer to ((-x+4))/5 =(-2+(7x-1))/2 is x= 23/37
Solve for x: ((-x+4))/5 =(-2+(7x-1))/2
The solution is x= 23/37