What is the answer to 3(x-5)=(2x)/4+(3(1-2x))/6 ?

The answer to 3(x-5)=(2x)/4+(3(1-2x))/6 is x= 31/7

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3(x-5)=(2x)/4+(3(1-2x))/6

3 (x - 5) = \frac{2 x}{4} + \frac{3 ( 1 - 2 x )}{6}

x = \frac{31}{7}

Decimal Notation

x = 4.42857 \dots

Solution steps

3 (x - 5) = \frac{2 x}{4} + \frac{3 ( 1 - 2 x )}{6}

Cancel

\frac{2 x}{4} : \frac{x}{2}

3 (x - 5) = \frac{x}{2} + \frac{3 ( - 2 x + 1 )}{6}

Cancel

\frac{3 ( 1 - 2 x )}{6} : \frac{- 2 x + 1}{2}

3 (x - 5) = \frac{x}{2} + \frac{1 - 2 x}{2}

Multiply both sides by

2

6 (x - 5) = - x + 1

Expand

6 (x - 5) : 6 x - 30

6 x - 30 = - x + 1

Move

30

to the right side

6 x = - x + 31

Move

x

to the left side

7 x = 31

Divide both sides by

7

x = \frac{31}{7}

a, a - 4 b + 2 c = 16

a, a + b = 13

a, a + b = 16

3 (x - 2) = 2 x - 1

lo g_{10} (25) = 2

What is the answer to 3(x-5)=(2x)/4+(3(1-2x))/6 ?
The answer to 3(x-5)=(2x)/4+(3(1-2x))/6 is x= 31/7
Solve for x: 3(x-5)=(2x)/4+(3(1-2x))/6
The solution is x= 31/7