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

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

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

\frac{- 3 x + 8}{4} = \frac{- 4 x + 5}{3}

x = - \frac{4}{7}

Decimal Notation

x = - 0.57142 \dots

Solution steps

\frac{- 3 x + 8}{4} = \frac{- 4 x + 5}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(- 3 x + 8) \cdot 3 = 4 (- 4 x + 5)

Expand

(- 3 x + 8) \cdot 3 : - 9 x + 24

Expand

4 (- 4 x + 5) : - 16 x + 20

- 9 x + 24 = - 16 x + 20

Move

24

to the right side

- 9 x = - 16 x - 4

Move

16 x

to the left side

7 x = - 4

Divide both sides by

7

x = - \frac{4}{7}

z^{2} + 4 z - 12

5 k + 3 = k - 17

15 a x + 20 a y

\frac{4 !}{( 4 - 2 ) ! \cdot 2 !}

- 5 (- x - 3) - x + 2 = 1

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