What is the answer to (2(x+3))/5+(3(x-6))/2 = 2/5+(10(2x+1))/6 ?

The answer to (2(x+3))/5+(3(x-6))/2 = 2/5+(10(2x+1))/6 is x=-296/43

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(2(x+3))/5+(3(x-6))/2 = 2/5+(10(2x+1))/6

\frac{2 ( x + 3 )}{5} + \frac{3 ( x - 6 )}{2} = \frac{2}{5} + \frac{10 ( 2 x + 1 )}{6}

x = - \frac{296}{43}

Decimal Notation

x = - 6.88372 \dots

Solution steps

\frac{2 ( x + 3 )}{5} + \frac{3 ( x - 6 )}{2} = \frac{2}{5} + \frac{10 ( 2 x + 1 )}{6}

Cancel

\frac{10 ( 2 x + 1 )}{6} : \frac{5 ( 2 x + 1 )}{3}

\frac{2 ( x + 3 )}{5} + \frac{3 ( x - 6 )}{2} = \frac{2}{5} + \frac{5 ( 2 x + 1 )}{3}

Multiply by LCM

12 (x + 3) + 45 (x - 6) = 12 + 50 (2 x + 1)

Expand

12 (x + 3) + 45 (x - 6) : 57 x - 234

Expand

12 + 50 (2 x + 1) : 100 x + 62

57 x - 234 = 100 x + 62

Move

234

to the right side

57 x = 100 x + 296

Move

100 x

to the left side

- 43 x = 296

Divide both sides by

- 43

x = - \frac{296}{43}

2 x - 4 = 2

(8 w - 4)^{2} = 0

x + 12 \leq - \frac{1}{3} or x + 12 \geq \frac{1}{3}

(3 x + 4) 2 = 9

5 (x + 3) + 9 = - 2 (x - 2) - 1

What is the answer to (2(x+3))/5+(3(x-6))/2 = 2/5+(10(2x+1))/6 ?
The answer to (2(x+3))/5+(3(x-6))/2 = 2/5+(10(2x+1))/6 is x=-296/43
Solve for x: (2(x+3))/5+(3(x-6))/2 = 2/5+(10(2x+1))/6
The solution is x=-296/43