What is the answer to 1/4 (2x-1)+1/2 (4x+2)=25-x ?

The answer to 1/4 (2x-1)+1/2 (4x+2)=25-x is x= 97/14

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1/4 (2x-1)+1/2 (4x+2)=25-x

\frac{1}{4} (2 x - 1) + \frac{1}{2} (4 x + 2) = 25 - x

x = \frac{97}{14}

Decimal Notation

x = 6.92857 \dots

Solution steps

\frac{1}{4} (2 x - 1) + \frac{1}{2} (4 x + 2) = 25 - x

\frac{1}{2} (4 x + 2) = \frac{4 x + 2}{2}

\frac{1}{4} (2 x - 1) + \frac{4 x + 2}{2} = 25 - x

Multiply by LCM

2 x - 1 + 4 (2 x + 1) = 100 - 4 x

Expand

2 x - 1 + 4 (2 x + 1) : 10 x + 3

10 x + 3 = 100 - 4 x

Move

3

to the right side

10 x = - 4 x + 97

Move

4 x

to the left side

14 x = 97

Divide both sides by

14

x = \frac{97}{14}

x, y + 2 x = - 3

\frac{x - ( - 3 )}{4} = 12

7 (x - 3) + 3 (\frac{2}{3} x - 1) = \frac{1}{3}

x, 3 y - 5 x - 15 = 0

a, 2 a = 2 b + 4

What is the answer to 1/4 (2x-1)+1/2 (4x+2)=25-x ?
The answer to 1/4 (2x-1)+1/2 (4x+2)=25-x is x= 97/14
Solve for x: 1/4 (2x-1)+1/2 (4x+2)=25-x
The solution is x= 97/14