Question

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

Answer 1

m=3/2

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}`