What is the answer to 5x-3(3x-3+2x)=2(3x-20+4x) ?

The answer to 5x-3(3x-3+2x)=2(3x-20+4x) is x= 49/24

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5x-3(3x-3+2x)=2(3x-20+4x)

5 x - 3 (3 x - 3 + 2 x) = 2 (3 x - 20 + 4 x)

x = \frac{49}{24}

Decimal Notation

x = 2.04166 \dots

Solution steps

5 x - 3 (3 x - 3 + 2 x) = 2 (3 x - 20 + 4 x)

Simplify

3 x - 3 + 2 x : 5 x - 3

5 x - 3 (5 x - 3) = 2 (3 x - 20 + 4 x)

Expand

- 3 (5 x - 3) : - 15 x + 9

5 x - 15 x + 9 = 2 (3 x - 20 + 4 x)

Add similar elements:

5 x - 15 x = - 10 x

- 10 x + 9 = 2 (3 x - 20 + 4 x)

Expand

2 (3 x - 20 + 4 x) : 14 x - 40

- 10 x + 9 = 14 x - 40

Move

9

to the right side

- 10 x = 14 x - 49

Move

14 x

to the left side

- 24 x = - 49

Divide both sides by

- 24

x = \frac{49}{24}

x, y + 4 = \frac{5}{2} (x - 2)

6 + 14 - 12 c = 56

- (x - 3) = - 7

2 \cdot b (a - c) = 20

(45) \cdot 0.3 + (x) \cdot 0.4 + \frac{( 0 + 75 + 70 )}{3} \cdot 0.4 = 55

What is the answer to 5x-3(3x-3+2x)=2(3x-20+4x) ?
The answer to 5x-3(3x-3+2x)=2(3x-20+4x) is x= 49/24
Solve for x: 5x-3(3x-3+2x)=2(3x-20+4x)
The solution is x= 49/24