(X-5)-(x+5)=4x

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Solution for (X-5)-(x+5)=4x equation:


Simplifying
(X + -5) + -1(x + 5) = 4x

Reorder the terms:
(-5 + X) + -1(x + 5) = 4x

Remove parenthesis around (-5 + X)
-5 + X + -1(x + 5) = 4x

Reorder the terms:
-5 + X + -1(5 + x) = 4x
-5 + X + (5 * -1 + x * -1) = 4x
-5 + X + (-5 + -1x) = 4x

Reorder the terms:
-5 + -5 + X + -1x = 4x

Combine like terms: -5 + -5 = -10
-10 + X + -1x = 4x

Solving
-10 + X + -1x = 4x

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + X + 10 + -1x = 10 + 4x

Reorder the terms:
-10 + 10 + X + -1x = 10 + 4x

Combine like terms: -10 + 10 = 0
0 + X + -1x = 10 + 4x
X + -1x = 10 + 4x

Add 'x' to each side of the equation.
X + -1x + x = 10 + 4x + x

Combine like terms: -1x + x = 0
X + 0 = 10 + 4x + x
X = 10 + 4x + x

Combine like terms: 4x + x = 5x
X = 10 + 5x

Simplifying
X = 10 + 5x

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