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

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


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

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

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

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

Combine like terms: 5m + -4m = 1m
8 + 1m = 5(m + 5) + -3

Reorder the terms:
8 + 1m = 5(5 + m) + -3
8 + 1m = (5 * 5 + m * 5) + -3
8 + 1m = (25 + 5m) + -3

Reorder the terms:
8 + 1m = 25 + -3 + 5m

Combine like terms: 25 + -3 = 22
8 + 1m = 22 + 5m

Solving
8 + 1m = 22 + 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.
8 + 1m + -5m = 22 + 5m + -5m

Combine like terms: 1m + -5m = -4m
8 + -4m = 22 + 5m + -5m

Combine like terms: 5m + -5m = 0
8 + -4m = 22 + 0
8 + -4m = 22

Add '-8' to each side of the equation.
8 + -8 + -4m = 22 + -8

Combine like terms: 8 + -8 = 0
0 + -4m = 22 + -8
-4m = 22 + -8

Combine like terms: 22 + -8 = 14
-4m = 14

Divide each side by '-4'.
m = -3.5

Simplifying
m = -3.5

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