Question

2m+7/4(3/4m-5/2)=3/32+1/3m

Answer 1

Answer:

m=3/2

Step-by-step explanation:

Answer 2

For this case we have the following equation:

$2m + \frac {7} {4} (\frac {3} {4} m- \frac {5} {2}) = \frac {3} {32} + \frac {1} {3} m$

We apply distributive property on the left side of the equation:

$2m + \frac {21} {16} m- \frac {35} {8} = \frac {3} {32} + \frac {1} {3} m$

We add similar terms from the left side:

$\frac {53} {16} m- \frac {35} {8} = \frac {3} {32} + \frac {1} {3} m$

Add$\frac {35} {8}$to both sides:

$\frac {53} {16} m = \frac {3} {32} + \frac {1} {3} m + \frac {35} {8}$

We subtract $\frac {1} {3}$ m from both sides:

$\frac {53} {16} m- \frac {1} {3} m = \frac {3} {32} + \frac {35} {8}\\\frac {143} {48} m = \frac {1144} {256}\\143m = \frac {1144 * 48} {256}$

We simplify:

$143m = \frac {54912} {256}\\143m = \frac {13728} {64}\\143m = \frac {3432} {16}\\143m = \frac {858} {4}\\143m = \frac {429} {2}$

We divide between 143 on both sides:

$m = \frac {429} {2 * 143}\\m = \frac {429} {286}\\m = \frac {33} {22}\\m = \frac {3} {2}$

Answer:

$m = \frac {3} {2}$