What is the answer to (x+2x)/7+(3x-2)/5 =(7x+12)/3 ?

The answer to (x+2x)/7+(3x-2)/5 =(7x+12)/3 is x=-462/137

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(x+2x)/7+(3x-2)/5 =(7x+12)/3

\frac{x + 2 x}{7} + \frac{3 x - 2}{5} = \frac{7 x + 12}{3}

x = - \frac{462}{137}

Decimal Notation

x = - 3.37226 \dots

Solution steps

\frac{x + 2 x}{7} + \frac{3 x - 2}{5} = \frac{7 x + 12}{3}

Add similar elements:

x + 2 x = 3 x

\frac{3 x}{7} + \frac{3 x - 2}{5} = \frac{7 x + 12}{3}

Multiply by LCM

45 x + 21 (3 x - 2) = 35 (7 x + 12)

Expand

21 (3 x - 2) : 63 x - 42

45 x + 63 x - 42 = 35 (7 x + 12)

Add similar elements:

45 x + 63 x = 108 x

108 x - 42 = 35 (7 x + 12)

Expand

35 (7 x + 12) : 245 x + 420

108 x - 42 = 245 x + 420

Move

42

to the right side

108 x = 245 x + 462

Move

245 x

to the left side

- 137 x = 462

Divide both sides by

- 137

x = - \frac{462}{137}

x, 78 x + 88 y = 5000

0.99 \cdot (0.3 \cdot 5.625 + 0.6 \cdot (4 + x) + 8.5 \cdot 0.1) = 4.95

- 2 (13 + 6 c) = 58

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

- \frac{y}{5} = 3

What is the answer to (x+2x)/7+(3x-2)/5 =(7x+12)/3 ?
The answer to (x+2x)/7+(3x-2)/5 =(7x+12)/3 is x=-462/137
Solve for x: (x+2x)/7+(3x-2)/5 =(7x+12)/3
The solution is x=-462/137