What is the answer to x+2 1/2 =(4x+3)/4-(2-3x)/8 ?

The answer to x+2 1/2 =(4x+3)/4-(2-3x)/8 is x=5 1/3

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x+2 1/2 =(4x+3)/4-(2-3x)/8

x + 2 \frac{1}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}

x = 5 \frac{1}{3}

Decimal Notation

x = 5.33333 \dots

Solution steps

x + 2 \frac{1}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

x + \frac{5}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}

Multiply by LCM

8 x + 20 = 2 (4 x + 3) - (2 - 3 x)

Expand

2 (4 x + 3) - (2 - 3 x) : 11 x + 4

8 x + 20 = 11 x + 4

Move

20

to the right side

8 x = 11 x - 16

Move

11 x

to the left side

- 3 x = - 16

Divide both sides by

- 3

x = \frac{16}{3}

Convert improper fractions to mixed numbers:

\frac{16}{3} = 5 \frac{1}{3}

x = 5 \frac{1}{3}

7 x - 4 = 5 x + 6

k, 5 k = \frac{11 k}{5 t} + 9 t

x, 6 x - 3 y = 1

x, 2 y + x - 3 = 0

q, 2 (3 - 4 q) = 2 q + 7

What is the answer to x+2 1/2 =(4x+3)/4-(2-3x)/8 ?
The answer to x+2 1/2 =(4x+3)/4-(2-3x)/8 is x=5 1/3
Solve for x: x+2 1/2 =(4x+3)/4-(2-3x)/8
The solution is x=5 1/3