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

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


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

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

Remove parenthesis around (-2 + M)
-2 + M + -5 = 8 + -2(m + -3)

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

Combine like terms: -2 + -5 = -7
-7 + M = 8 + -2(m + -3)

Reorder the terms:
-7 + M = 8 + -2(-3 + m)
-7 + M = 8 + (-3 * -2 + m * -2)
-7 + M = 8 + (6 + -2m)

Combine like terms: 8 + 6 = 14
-7 + M = 14 + -2m

Solving
-7 + M = 14 + -2m

Solving for variable 'M'.

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

Add '7' to each side of the equation.
-7 + 7 + M = 14 + 7 + -2m

Combine like terms: -7 + 7 = 0
0 + M = 14 + 7 + -2m
M = 14 + 7 + -2m

Combine like terms: 14 + 7 = 21
M = 21 + -2m

Simplifying
M = 21 + -2m

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