What is the answer to (7x+3)/2 =(6x)/8+4 ?

The answer to (7x+3)/2 =(6x)/8+4 is x= 10/11

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(7x+3)/2 =(6x)/8+4

\frac{7 x + 3}{2} = \frac{6 x}{8} + 4

x = \frac{10}{11}

Decimal Notation

x = 0.90909 \dots

Solution steps

\frac{7 x + 3}{2} = \frac{6 x}{8} + 4

Cancel

\frac{6 x}{8} : \frac{3 x}{4}

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

Multiply by LCM

2 (7 x + 3) = 3 x + 16

Expand

2 (7 x + 3) : 14 x + 6

14 x + 6 = 3 x + 16

Move

6

to the right side

14 x = 3 x + 10

Move

3 x

to the left side

11 x = 10

Divide both sides by

11

x = \frac{10}{11}

x, 2 x + 3 y + 4 z = 12

x, 3 x + 4 y = - 36

13 x - 2 (8 + 5 x) = 12 - 11 x

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

15 + 0.15 x = 0.2 x + 11

What is the answer to (7x+3)/2 =(6x)/8+4 ?
The answer to (7x+3)/2 =(6x)/8+4 is x= 10/11
Solve for x: (7x+3)/2 =(6x)/8+4
The solution is x= 10/11