What is the answer to (2x-1)/4 =(-8x+5)/2 ?

The answer to (2x-1)/4 =(-8x+5)/2 is x= 11/18

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(2x-1)/4 =(-8x+5)/2

\frac{2 x - 1}{4} = \frac{- 8 x + 5}{2}

x = \frac{11}{18}

Solution steps

\frac{2 x - 1}{4} = \frac{- 8 x + 5}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 1) \cdot 2 = 4 (- 8 x + 5)

Expand

(2 x - 1) \cdot 2 : 4 x - 2

Expand

4 (- 8 x + 5) : - 32 x + 20

4 x - 2 = - 32 x + 20

Move

2

to the right side

4 x = - 32 x + 22

Move

32 x

to the left side

36 x = 22

Divide both sides by

36

x = \frac{11}{18}

3 (x + 2) + 4 x - 5 = 7 (x + 1) - 6

\frac{5}{8} z + 12 = 37

9 π = π x

20 = - 10 + \frac{1}{2} z

\frac{k - 4}{3} = 3

What is the answer to (2x-1)/4 =(-8x+5)/2 ?
The answer to (2x-1)/4 =(-8x+5)/2 is x= 11/18
Solve for x: (2x-1)/4 =(-8x+5)/2
The solution is x= 11/18