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

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


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

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

Combine like terms: 8 + 5 = 13
13 + -1m = 2(3m + -8)

Reorder the terms:
13 + -1m = 2(-8 + 3m)
13 + -1m = (-8 * 2 + 3m * 2)
13 + -1m = (-16 + 6m)

Solving
13 + -1m = -16 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
13 + -1m + -6m = -16 + 6m + -6m

Combine like terms: -1m + -6m = -7m
13 + -7m = -16 + 6m + -6m

Combine like terms: 6m + -6m = 0
13 + -7m = -16 + 0
13 + -7m = -16

Add '-13' to each side of the equation.
13 + -13 + -7m = -16 + -13

Combine like terms: 13 + -13 = 0
0 + -7m = -16 + -13
-7m = -16 + -13

Combine like terms: -16 + -13 = -29
-7m = -29

Divide each side by '-7'.
m = 4.142857143

Simplifying
m = 4.142857143

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