10-(5m-8)=2m+3

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Solution for 10-(5m-8)=2m+3 equation:


Simplifying
10 + -1(5m + -8) = 2m + 3

Reorder the terms:
10 + -1(-8 + 5m) = 2m + 3
10 + (-8 * -1 + 5m * -1) = 2m + 3
10 + (8 + -5m) = 2m + 3

Combine like terms: 10 + 8 = 18
18 + -5m = 2m + 3

Reorder the terms:
18 + -5m = 3 + 2m

Solving
18 + -5m = 3 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
18 + -5m + -2m = 3 + 2m + -2m

Combine like terms: -5m + -2m = -7m
18 + -7m = 3 + 2m + -2m

Combine like terms: 2m + -2m = 0
18 + -7m = 3 + 0
18 + -7m = 3

Add '-18' to each side of the equation.
18 + -18 + -7m = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -7m = 3 + -18
-7m = 3 + -18

Combine like terms: 3 + -18 = -15
-7m = -15

Divide each side by '-7'.
m = 2.142857143

Simplifying
m = 2.142857143

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