0.2(3M+2)=0.3(5M+10)

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Solution for 0.2(3M+2)=0.3(5M+10) equation: 


Simplifying
0.2(3M + 2) = 0.3(5M + 10)

Reorder the terms:
0.2(2 + 3M) = 0.3(5M + 10)
(2 * 0.2 + 3M * 0.2) = 0.3(5M + 10)
(0.4 + 0.6M) = 0.3(5M + 10)

Reorder the terms:
0.4 + 0.6M = 0.3(10 + 5M)
0.4 + 0.6M = (10 * 0.3 + 5M * 0.3)
0.4 + 0.6M = (3 + 1.5M)

Solving
0.4 + 0.6M = 3 + 1.5M

Solving for variable 'M'.

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

Add '-1.5M' to each side of the equation.
0.4 + 0.6M + -1.5M = 3 + 1.5M + -1.5M

Combine like terms: 0.6M + -1.5M = -0.9M
0.4 + -0.9M = 3 + 1.5M + -1.5M

Combine like terms: 1.5M + -1.5M = 0.0
0.4 + -0.9M = 3 + 0.0
0.4 + -0.9M = 3

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.9M = 3 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.9M = 3 + -0.4
-0.9M = 3 + -0.4

Combine like terms: 3 + -0.4 = 2.6
-0.9M = 2.6

Divide each side by '-0.9'.
M = -2.888888889

Simplifying
M = -2.888888889

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