What is the answer to (3(x-1))/4-x/4 = 2/7+(x-10)/(14) ?

The answer to (3(x-1))/4-x/4 = 2/7+(x-10)/(14) is x= 3/4

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(3(x-1))/4-x/4 = 2/7+(x-10)/(14)

\frac{3 ( x - 1 )}{4} - \frac{x}{4} = \frac{2}{7} + \frac{x - 10}{14}

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

\frac{3 ( x - 1 )}{4} - \frac{x}{4} = \frac{2}{7} + \frac{x - 10}{14}

Multiply by LCM

21 (x - 1) - 7 x = 8 + 2 (x - 10)

Expand

21 (x - 1) - 7 x : 14 x - 21

Expand

8 + 2 (x - 10) : 2 x - 12

14 x - 21 = 2 x - 12

Move

21

to the right side

14 x = 2 x + 9

Move

2 x

to the left side

12 x = 9

Divide both sides by

12

x = \frac{3}{4}

a, a - (b - c) = (a - b) + c

x^{2} + x - 6 = (x + a) (x - b)

2 [5 - 4 (3 x + 5)] = 2 \frac{2}{3} x

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

6 x + 4 = 8 x + 8

What is the answer to (3(x-1))/4-x/4 = 2/7+(x-10)/(14) ?
The answer to (3(x-1))/4-x/4 = 2/7+(x-10)/(14) is x= 3/4
Solve for x: (3(x-1))/4-x/4 = 2/7+(x-10)/(14)
The solution is x= 3/4