1.

(3(m-4))/(15)-((m-5)/(10))=(2(3-m))/(5)

Answer» Simplify Left Side

`1/10 m - 3/10 = (2 * (3 - m)) / 5`

Simplify Right Side

`1/10 m - 3/10 = 6/5 - 2m / 5`

Add To Both Sides

`(1/10 m - 3/10) + 2/5 m = (6/5 - 2/5 m) + 2/5 m`

Collect And Combine Like Terms

`1/2 m - 3/10 = (6/5 - 2/5 m) + 2/5 m`

Simplify Right Side

`1/2 m - 3/10 = 6/5`

Add To Both Sides

`(1/2 m - 3/10) + 3/10 = (6/5) + 3/10`

Simplify Left Side

`1/2 m = (6/5) + 3/10`

Add Fractions

`1/2 m = 3/2`

Multiply Both Sides By Inverse Fraction

`1/2 m * 2/1 = (3/2) * 2/1`

Simplify Left Side

`m = (3/2) * 2/1`

Simplify Right Side

`m = 3`



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