X+2(m-1)x+(m+5)=0

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Solution for X+2(m-1)x+(m+5)=0 equation:


Simplifying
X + 2(m + -1) * x + (m + 5) = 0

Reorder the terms:
X + 2(-1 + m) * x + (m + 5) = 0

Reorder the terms for easier multiplication:
X + 2x(-1 + m) + (m + 5) = 0
X + (-1 * 2x + m * 2x) + (m + 5) = 0

Reorder the terms:
X + (2mx + -2x) + (m + 5) = 0
X + (2mx + -2x) + (m + 5) = 0

Reorder the terms:
X + 2mx + -2x + (5 + m) = 0

Remove parenthesis around (5 + m)
X + 2mx + -2x + 5 + m = 0

Reorder the terms:
5 + X + m + 2mx + -2x = 0

Solving
5 + X + m + 2mx + -2x = 0

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X + m + 2mx + -5 + -2x = 0 + -5

Reorder the terms:
5 + -5 + X + m + 2mx + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + X + m + 2mx + -2x = 0 + -5
X + m + 2mx + -2x = 0 + -5

Combine like terms: 0 + -5 = -5
X + m + 2mx + -2x = -5

Add '-1m' to each side of the equation.
X + m + 2mx + -1m + -2x = -5 + -1m

Reorder the terms:
X + m + -1m + 2mx + -2x = -5 + -1m

Combine like terms: m + -1m = 0
X + 0 + 2mx + -2x = -5 + -1m
X + 2mx + -2x = -5 + -1m

Add '-2mx' to each side of the equation.
X + 2mx + -2mx + -2x = -5 + -1m + -2mx

Combine like terms: 2mx + -2mx = 0
X + 0 + -2x = -5 + -1m + -2mx
X + -2x = -5 + -1m + -2mx

Add '2x' to each side of the equation.
X + -2x + 2x = -5 + -1m + -2mx + 2x

Combine like terms: -2x + 2x = 0
X + 0 = -5 + -1m + -2mx + 2x
X = -5 + -1m + -2mx + 2x

Simplifying
X = -5 + -1m + -2mx + 2x

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