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

The answer to 2x-5=2-(x-4)/3 is x= 25/7

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2x-5=2-(x-4)/3

2 x - 5 = 2 - \frac{x - 4}{3}

x = \frac{25}{7}

Decimal Notation

x = 3.57142 \dots

Solution steps

2 x - 5 = 2 - \frac{x - 4}{3}

Move

5

to the right side

2 x = - \frac{x - 4}{3} + 7

Multiply both sides by

3

6 x = - (x - 4) + 21

Expand

- (x - 4) + 21 : - x + 25

6 x = - x + 25

Move

x

to the left side

7 x = 25

Divide both sides by

7

x = \frac{25}{7}

(- 7) = - 5 (31) - 4

(- \frac{2}{3})^{5}

\frac{5}{3} (3)

- x + 4 (0) = 1

2 x - 6 = x^{2} - 3 x