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

The answer to (3(5-c))/2 =-(2(2c+7))/3 is c=73

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(3(5-c))/2 =-(2(2c+7))/3

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

c = 73

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

3 (5 - c) \cdot 3 = - 2 \cdot 2 (2 c + 7)

Simplify

9 (5 - c) = - 4 (2 c + 7)

Expand

9 (5 - c) : 45 - 9 c

Expand

- 4 (2 c + 7) : - 8 c - 28

45 - 9 c = - 8 c - 28

Move

45

to the right side

- 9 c = - 8 c - 73

Move

8 c

to the left side

- c = - 73

Divide both sides by

- 1

c = 73

- 8 (x + 3) > 2 (x + 4)

a^{2} + 6 a - b^{2} + 6 b

\frac{x}{5} + \frac{x}{7} = \frac{7}{10}

x^{2} - 15 = - 9 x - 5

- 16 x^{2} + 16 x + 64 = 0

What is the answer to (3(5-c))/2 =-(2(2c+7))/3 ?
The answer to (3(5-c))/2 =-(2(2c+7))/3 is c=73
Solve for c: (3(5-c))/2 =-(2(2c+7))/3
The solution is c=73