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

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

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(7x+4)/3 =(5x+3)/4

\frac{7 x + 4}{3} = \frac{5 x + 3}{4}

x = - \frac{7}{13}

Decimal Notation

x = - 0.53846 \dots

Solution steps

\frac{7 x + 4}{3} = \frac{5 x + 3}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(7 x + 4) \cdot 4 : 28 x + 16

Expand

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

28 x + 16 = 15 x + 9

Move

16

to the right side

28 x = 15 x - 7

Move

15 x

to the left side

13 x = - 7

Divide both sides by

13

x = - \frac{7}{13}

10 - 2 x + 9 x = 8 + 7 x + 1

∣ 120 x - 40 ∣ = 60

- 5 (x - 3) - 3 x - 2 = 45

∣ 3 x - 9 ∣ > 3

5 x^{2} + 80 = 0

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