What is the answer to 5/2 ((7+x)/3)= 1/3 (5-(5x)/2)+(3x)/2 ?

The answer to 5/2 ((7+x)/3)= 1/3 (5-(5x)/2)+(3x)/2 is x=-25

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5/2 ((7+x)/3)= 1/3 (5-(5x)/2)+(3x)/2

\frac{5}{2} (\frac{7 + x}{3}) = \frac{1}{3} (5 - \frac{5 x}{2}) + \frac{3 x}{2}

x = - 25

Solution steps

\frac{5}{2} (\frac{7 + x}{3}) = \frac{1}{3} (5 - \frac{5 x}{2}) + \frac{3 x}{2}

Expand

\frac{5}{2} (\frac{7 + x}{3}) : \frac{35}{6} + \frac{5 x}{6}

Expand

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

\frac{35}{6} + \frac{5 x}{6} = \frac{5}{3} + \frac{2 x}{3}

Multiply by LCM

35 + 5 x = 10 + 4 x

Move

35

to the right side

5 x = 4 x - 25

Move

4 x

to the left side

x = - 25

\frac{1}{3} (z - 2) + \frac{4}{3} z = 2 z + \frac{4}{3}

4 (3 t - 2) = 88

4 (t - 5) + 3 = t + 1

(x + 3)^{2} - 4 = (x - 2) (x + 8) + 21

(x - 8) + (8 x + 4) = 8 x - (2 - x)

What is the answer to 5/2 ((7+x)/3)= 1/3 (5-(5x)/2)+(3x)/2 ?
The answer to 5/2 ((7+x)/3)= 1/3 (5-(5x)/2)+(3x)/2 is x=-25
Solve for x: 5/2 ((7+x)/3)= 1/3 (5-(5x)/2)+(3x)/2
The solution is x=-25