(X-8)-(x+3)=5x

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Solution for (X-8)-(x+3)=5x equation:


Simplifying
(X + -8) + -1(x + 3) = 5x

Reorder the terms:
(-8 + X) + -1(x + 3) = 5x

Remove parenthesis around (-8 + X)
-8 + X + -1(x + 3) = 5x

Reorder the terms:
-8 + X + -1(3 + x) = 5x
-8 + X + (3 * -1 + x * -1) = 5x
-8 + X + (-3 + -1x) = 5x

Reorder the terms:
-8 + -3 + X + -1x = 5x

Combine like terms: -8 + -3 = -11
-11 + X + -1x = 5x

Solving
-11 + X + -1x = 5x

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + X + 11 + -1x = 11 + 5x

Reorder the terms:
-11 + 11 + X + -1x = 11 + 5x

Combine like terms: -11 + 11 = 0
0 + X + -1x = 11 + 5x
X + -1x = 11 + 5x

Add 'x' to each side of the equation.
X + -1x + x = 11 + 5x + x

Combine like terms: -1x + x = 0
X + 0 = 11 + 5x + x
X = 11 + 5x + x

Combine like terms: 5x + x = 6x
X = 11 + 6x

Simplifying
X = 11 + 6x

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