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

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


Simplifying
5 + -3(4 + -2m) = 4(m + -3) + -3
5 + (4 * -3 + -2m * -3) = 4(m + -3) + -3
5 + (-12 + 6m) = 4(m + -3) + -3

Combine like terms: 5 + -12 = -7
-7 + 6m = 4(m + -3) + -3

Reorder the terms:
-7 + 6m = 4(-3 + m) + -3
-7 + 6m = (-3 * 4 + m * 4) + -3
-7 + 6m = (-12 + 4m) + -3

Reorder the terms:
-7 + 6m = -12 + -3 + 4m

Combine like terms: -12 + -3 = -15
-7 + 6m = -15 + 4m

Solving
-7 + 6m = -15 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-7 + 6m + -4m = -15 + 4m + -4m

Combine like terms: 6m + -4m = 2m
-7 + 2m = -15 + 4m + -4m

Combine like terms: 4m + -4m = 0
-7 + 2m = -15 + 0
-7 + 2m = -15

Add '7' to each side of the equation.
-7 + 7 + 2m = -15 + 7

Combine like terms: -7 + 7 = 0
0 + 2m = -15 + 7
2m = -15 + 7

Combine like terms: -15 + 7 = -8
2m = -8

Divide each side by '2'.
m = -4

Simplifying
m = -4

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