What is the answer to (-3(5-x)}{10}-\frac{3x)/2 =7-(5x)/3 ?

The answer to (-3(5-x)}{10}-\frac{3x)/2 =7-(5x)/3 is x= 255/14

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(-3(5-x)}{10}-\frac{3x)/2 =7-(5x)/3

\frac{- 3 ( 5 - x )}{10} - \frac{3 x}{2} = 7 - \frac{5 x}{3}

x = \frac{255}{14}

Decimal Notation

x = 18.21428 \dots

Solution steps

\frac{- 3 ( 5 - x )}{10} - \frac{3 x}{2} = 7 - \frac{5 x}{3}

Multiply by LCM

- 9 (- x + 5) - 45 x = 210 - 50 x

Expand

- 9 (- x + 5) - 45 x : - 36 x - 45

- 36 x - 45 = 210 - 50 x

Move

45

to the right side

- 36 x = - 50 x + 255

Move

50 x

to the left side

14 x = 255

Divide both sides by

14

x = \frac{255}{14}

\frac{5 x + 3}{2} = 24

∣ 10 + x ∣ - 10 = - 6

0. 5^{5}

4 x^{2} + 2 x - 4 = 0

2 x^{2} = - 4 x + 6

What is the answer to (-3(5-x)}{10}-\frac{3x)/2 =7-(5x)/3 ?
The answer to (-3(5-x)}{10}-\frac{3x)/2 =7-(5x)/3 is x= 255/14
Solve for x: (-3(5-x)}{10}-\frac{3x)/2 =7-(5x)/3
The solution is x= 255/14