9m-3(m+6)=3(x+9)-10

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Solution for 9m-3(m+6)=3(x+9)-10 equation:


Simplifying
9m + -3(m + 6) = 3(x + 9) + -10

Reorder the terms:
9m + -3(6 + m) = 3(x + 9) + -10
9m + (6 * -3 + m * -3) = 3(x + 9) + -10
9m + (-18 + -3m) = 3(x + 9) + -10

Reorder the terms:
-18 + 9m + -3m = 3(x + 9) + -10

Combine like terms: 9m + -3m = 6m
-18 + 6m = 3(x + 9) + -10

Reorder the terms:
-18 + 6m = 3(9 + x) + -10
-18 + 6m = (9 * 3 + x * 3) + -10
-18 + 6m = (27 + 3x) + -10

Reorder the terms:
-18 + 6m = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
-18 + 6m = 17 + 3x

Solving
-18 + 6m = 17 + 3x

Solving for variable 'm'.

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

Add '18' to each side of the equation.
-18 + 18 + 6m = 17 + 18 + 3x

Combine like terms: -18 + 18 = 0
0 + 6m = 17 + 18 + 3x
6m = 17 + 18 + 3x

Combine like terms: 17 + 18 = 35
6m = 35 + 3x

Divide each side by '6'.
m = 5.833333333 + 0.5x

Simplifying
m = 5.833333333 + 0.5x

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