What is the answer to (6x+3)/3 =(7x-2)/5 ?

The answer to (6x+3)/3 =(7x-2)/5 is x=-7/3

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(6x+3)/3 =(7x-2)/5

\frac{6 x + 3}{3} = \frac{7 x - 2}{5}

x = - \frac{7}{3}

Decimal Notation

x = - 2.33333 \dots

Solution steps

\frac{6 x + 3}{3} = \frac{7 x - 2}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(6 x + 3) \cdot 5 : 30 x + 15

Expand

3 (7 x - 2) : 21 x - 6

30 x + 15 = 21 x - 6

Move

15

to the right side

30 x = 21 x - 21

Move

21 x

to the left side

9 x = - 21

Divide both sides by

9

x = - \frac{7}{3}

\frac{13 !}{2 ! ( 13 - 2 ) !}

x^{2} - 11 x y - 12 y^{2}

800 a^{3} + 2400 a^{2} + 2400 a + 800

∣ 7 x - 5 ∣ = - 9

12 (x - 2) = - 4 (x + 10)

What is the answer to (6x+3)/3 =(7x-2)/5 ?
The answer to (6x+3)/3 =(7x-2)/5 is x=-7/3
Solve for x: (6x+3)/3 =(7x-2)/5
The solution is x=-7/3