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

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


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

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

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

Combine like terms: -6 + -3 = -9
-9 + 3m = 4(m + -5)

Reorder the terms:
-9 + 3m = 4(-5 + m)
-9 + 3m = (-5 * 4 + m * 4)
-9 + 3m = (-20 + 4m)

Solving
-9 + 3m = -20 + 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.
-9 + 3m + -4m = -20 + 4m + -4m

Combine like terms: 3m + -4m = -1m
-9 + -1m = -20 + 4m + -4m

Combine like terms: 4m + -4m = 0
-9 + -1m = -20 + 0
-9 + -1m = -20

Add '9' to each side of the equation.
-9 + 9 + -1m = -20 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = -20 + 9
-1m = -20 + 9

Combine like terms: -20 + 9 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11

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