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

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


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

Reorder the terms:
4(-3 + m) + -2m = 5m + -3
(-3 * 4 + m * 4) + -2m = 5m + -3
(-12 + 4m) + -2m = 5m + -3

Combine like terms: 4m + -2m = 2m
-12 + 2m = 5m + -3

Reorder the terms:
-12 + 2m = -3 + 5m

Solving
-12 + 2m = -3 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-12 + 2m + -5m = -3 + 5m + -5m

Combine like terms: 2m + -5m = -3m
-12 + -3m = -3 + 5m + -5m

Combine like terms: 5m + -5m = 0
-12 + -3m = -3 + 0
-12 + -3m = -3

Add '12' to each side of the equation.
-12 + 12 + -3m = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -3m = -3 + 12
-3m = -3 + 12

Combine like terms: -3 + 12 = 9
-3m = 9

Divide each side by '-3'.
m = -3

Simplifying
m = -3

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