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

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


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

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

Remove parenthesis around (m + x)
m + x = 3(x + 9) + -10

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

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

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

Solving
m + x = 17 + 3x

Solving for variable 'm'.

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

Add '-1x' to each side of the equation.
m + x + -1x = 17 + 3x + -1x

Combine like terms: x + -1x = 0
m + 0 = 17 + 3x + -1x
m = 17 + 3x + -1x

Combine like terms: 3x + -1x = 2x
m = 17 + 2x

Simplifying
m = 17 + 2x

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