What is the answer to 2/7 (x-3)-2/3 = 1/3 (2x-6) ?

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

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2/7 (x-3)-2/3 = 1/3 (2x-6)

\frac{2}{7} (x - 3) - \frac{2}{3} = \frac{1}{3} (2 x - 6)

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

\frac{2}{7} (x - 3) - \frac{2}{3} = \frac{1}{3} (2 x - 6)

Expand

\frac{2}{7} (x - 3) - \frac{2}{3} : - \frac{32}{21} + \frac{2}{7} x

Expand

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

- \frac{32}{21} + \frac{2}{7} x = \frac{2}{3} x - 2

Move

\frac{32}{21}

to the right side

\frac{2}{7} x = - \frac{10}{21} + \frac{2}{3} x

Move

\frac{2}{3} x

to the left side

- \frac{8}{21} x = - \frac{10}{21}

Multiply both sides by

21

- 8 x = - 10

Divide both sides by

- 8

x = \frac{5}{4}

8 (4 u - 1) - 12 u = 11 (2 u - 6)

15 y + 32 = 2 (10 y - 7) - 5 y + 46

3 x - 27 x^{3}

\frac{5}{2 ^{3}}

1 \geq ∣ 7 x - 1 ∣ > 3

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