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

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

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x/2+3/8 = x/4+1

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

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

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

Multiply by LCM

4 x + 3 = 2 x + 8

Move

3

to the right side

4 x = 2 x + 5

Move

2 x

to the left side

2 x = 5

Divide both sides by

2

x = \frac{5}{2}

2 x + 3 [x - (1 - x) + 2] + x = 12

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

y = 6 (- 5) - 5

x, 2 x - 5 y = - 2

x, 7 x + 5 y + 9 = 0