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

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

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

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

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(- (2 - x)) \cdot 3 = 2 (3 x - 5)

Simplify

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

Expand

- 3 (2 - x) : - 6 + 3 x

Expand

2 (3 x - 5) : 6 x - 10

- 6 + 3 x = 6 x - 10

Move

6

to the right side

3 x = 6 x - 4

Move

6 x

to the left side

- 3 x = - 4

Divide both sides by

- 3

x = \frac{4}{3}

5275

∣ x - 5 ∣ \geq 8

2 ∣ 3 x - 5 ∣ - 8 = 8

\frac{5}{8} \cdot \frac{5}{9}

5 x^{2} - 7 x + 1 = 0

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