What is the answer to (2x+12)/7 =(3x+5)/4 ?

The answer to (2x+12)/7 =(3x+5)/4 is x=1

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(2x+12)/7 =(3x+5)/4

\frac{2 x + 12}{7} = \frac{3 x + 5}{4}

x = 1

Solution steps

\frac{2 x + 12}{7} = \frac{3 x + 5}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 12) \cdot 4 = 7 (3 x + 5)

Expand

(2 x + 12) \cdot 4 : 8 x + 48

Expand

7 (3 x + 5) : 21 x + 35

8 x + 48 = 21 x + 35

Move

48

to the right side

8 x = 21 x - 13

Move

21 x

to the left side

- 13 x = - 13

Divide both sides by

- 13

x = 1

5 n + 10 (2 n) + 25 (76 - 3 n) = 850

(2 x - 3) (4 x + 5) \leq (8 x + 1) (x - 7)

r - 14 = 23

10 - 2 x = 7 - 3 x

\frac{1}{2 x - 1} \leq x

What is the answer to (2x+12)/7 =(3x+5)/4 ?
The answer to (2x+12)/7 =(3x+5)/4 is x=1
Solve for x: (2x+12)/7 =(3x+5)/4
The solution is x=1