0.1(3m+2)=0.75(m+5)

Solution for 0.1(3m+2)=0.75(m+5) equation:

Simplifying
0.1(3m + 2) = 0.75(m + 5)

Reorder the terms:
0.1(2 + 3m) = 0.75(m + 5)
(2 * 0.1 + 3m * 0.1) = 0.75(m + 5)
(0.2 + 0.3m) = 0.75(m + 5)

Reorder the terms:
0.2 + 0.3m = 0.75(5 + m)
0.2 + 0.3m = (5 * 0.75 + m * 0.75)
0.2 + 0.3m = (3.75 + 0.75m)

Solving
0.2 + 0.3m = 3.75 + 0.75m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-0.75m' to each side of the equation.
0.2 + 0.3m + -0.75m = 3.75 + 0.75m + -0.75m

Combine like terms: 0.3m + -0.75m = -0.45m
0.2 + -0.45m = 3.75 + 0.75m + -0.75m

Combine like terms: 0.75m + -0.75m = 0.00
0.2 + -0.45m = 3.75 + 0.00
0.2 + -0.45m = 3.75

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.45m = 3.75 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.45m = 3.75 + -0.2
-0.45m = 3.75 + -0.2

Combine like terms: 3.75 + -0.2 = 3.55
-0.45m = 3.55

Divide each side by '-0.45'.
m = -7.888888889

Simplifying
m = -7.888888889