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

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

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(5x-6)/2 =x-(2-x)/3

\frac{5 x - 6}{2} = x - \frac{2 - x}{3}

x = 2

Solution steps

\frac{5 x - 6}{2} = x - \frac{2 - x}{3}

Multiply by LCM

3 (5 x - 6) = 6 x - 2 (- x + 2)

Expand

- 2 (- x + 2) : 2 x - 4

15 x - 18 = 6 x + 2 x - 4

Add similar elements:

6 x + 2 x = 8 x

15 x - 18 = 8 x - 4

Expand

3 (5 x - 6) : 15 x - 18

15 x - 18 = 8 x - 4

Move

18

to the right side

15 x = 8 x + 14

Move

8 x

to the left side

7 x = 14

Divide both sides by

7

x = 2

- 0.5 x + 5 = 10

M = \frac{1 5 ^{2} \cdot 25 \cdot 49}{3 5 ^{2} \cdot 4 5 ^{2}}

- 2 (2 y + 8) = 4 y + 5 + y

\frac{a}{b} (x - a) = \frac{b}{a} (x - b)

p, q + 4 p = 480

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