What is the answer to (5x-3)/(-4)=(2x+1)/(-3) ?

The answer to (5x-3)/(-4)=(2x+1)/(-3) is x= 13/7

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(5x-3)/(-4)=(2x+1)/(-3)

\frac{5 x - 3}{- 4} = \frac{2 x + 1}{- 3}

x = \frac{13}{7}

Decimal Notation

x = 1.85714 \dots

Solution steps

\frac{5 x - 3}{- 4} = \frac{2 x + 1}{- 3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

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

Expand

- 3 (5 x - 3) : - 15 x + 9

Expand

- 4 (2 x + 1) : - 8 x - 4

- 15 x + 9 = - 8 x - 4

Move

9

to the right side

- 15 x = - 8 x - 13

Move

8 x

to the left side

- 7 x = - 13

Divide both sides by

- 7

x = \frac{13}{7}

x + 2 = 18

4 x - 7 = 4 x + 5

(2 x - 7) = 15

lo g_{2} (64) = 2 x

y, 4 = - 16 x + 8 y - 32 y

What is the answer to (5x-3)/(-4)=(2x+1)/(-3) ?
The answer to (5x-3)/(-4)=(2x+1)/(-3) is x= 13/7
Solve for x: (5x-3)/(-4)=(2x+1)/(-3)
The solution is x= 13/7