4(m-2)-3(2m-1)=3(m+5)

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Solution for 4(m-2)-3(2m-1)=3(m+5) equation:


Simplifying
4(m + -2) + -3(2m + -1) = 3(m + 5)

Reorder the terms:
4(-2 + m) + -3(2m + -1) = 3(m + 5)
(-2 * 4 + m * 4) + -3(2m + -1) = 3(m + 5)
(-8 + 4m) + -3(2m + -1) = 3(m + 5)

Reorder the terms:
-8 + 4m + -3(-1 + 2m) = 3(m + 5)
-8 + 4m + (-1 * -3 + 2m * -3) = 3(m + 5)
-8 + 4m + (3 + -6m) = 3(m + 5)

Reorder the terms:
-8 + 3 + 4m + -6m = 3(m + 5)

Combine like terms: -8 + 3 = -5
-5 + 4m + -6m = 3(m + 5)

Combine like terms: 4m + -6m = -2m
-5 + -2m = 3(m + 5)

Reorder the terms:
-5 + -2m = 3(5 + m)
-5 + -2m = (5 * 3 + m * 3)
-5 + -2m = (15 + 3m)

Solving
-5 + -2m = 15 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-5 + -2m + -3m = 15 + 3m + -3m

Combine like terms: -2m + -3m = -5m
-5 + -5m = 15 + 3m + -3m

Combine like terms: 3m + -3m = 0
-5 + -5m = 15 + 0
-5 + -5m = 15

Add '5' to each side of the equation.
-5 + 5 + -5m = 15 + 5

Combine like terms: -5 + 5 = 0
0 + -5m = 15 + 5
-5m = 15 + 5

Combine like terms: 15 + 5 = 20
-5m = 20

Divide each side by '-5'.
m = -4

Simplifying
m = -4

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