What is the answer to 12r+3/2 = 3/5 r+3 ?

The answer to 12r+3/2 = 3/5 r+3 is r= 5/38

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12r+3/2 = 3/5 r+3

12 r + \frac{3}{2} = \frac{3}{5} r + 3

r = \frac{5}{38}

Decimal Notation

r = 0.13157 \dots

Solution steps

12 r + \frac{3}{2} = \frac{3}{5} r + 3

Move

\frac{3}{2}

to the right side

12 r = \frac{3}{2} + \frac{3}{5} r

Move

\frac{3}{5} r

to the left side

\frac{57}{5} r = \frac{3}{2}

Multiply both sides by

5

57 r = \frac{15}{2}

Divide both sides by

57

r = \frac{5}{38}

(2 x - 5)^{2} + (3 x - 3)^{2} = 13 x^{2} - 5 x + 7

2 (1 + x) - 3 (x - 1) - 6 = x - 11

2 + 3 = 5

4 x + 20 = 45 - x

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

What is the answer to 12r+3/2 = 3/5 r+3 ?
The answer to 12r+3/2 = 3/5 r+3 is r= 5/38
Solve for r: 12r+3/2 = 3/5 r+3
The solution is r= 5/38