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

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


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

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

Combine like terms: 4 + -5 = -1
-1 + -1m = 3(m + -2)

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

Solving
-1 + -1m = -6 + 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.
-1 + -1m + -3m = -6 + 3m + -3m

Combine like terms: -1m + -3m = -4m
-1 + -4m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
-1 + -4m = -6 + 0
-1 + -4m = -6

Add '1' to each side of the equation.
-1 + 1 + -4m = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -4m = -6 + 1
-4m = -6 + 1

Combine like terms: -6 + 1 = -5
-4m = -5

Divide each side by '-4'.
m = 1.25

Simplifying
m = 1.25

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