(X-9)-(x-4)=10x

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Solution for (X-9)-(x-4)=10x equation:


Simplifying
(X + -9) + -1(x + -4) = 10x

Reorder the terms:
(-9 + X) + -1(x + -4) = 10x

Remove parenthesis around (-9 + X)
-9 + X + -1(x + -4) = 10x

Reorder the terms:
-9 + X + -1(-4 + x) = 10x
-9 + X + (-4 * -1 + x * -1) = 10x
-9 + X + (4 + -1x) = 10x

Reorder the terms:
-9 + 4 + X + -1x = 10x

Combine like terms: -9 + 4 = -5
-5 + X + -1x = 10x

Solving
-5 + X + -1x = 10x

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 + 5 + -1x = 5 + 10x

Reorder the terms:
-5 + 5 + X + -1x = 5 + 10x

Combine like terms: -5 + 5 = 0
0 + X + -1x = 5 + 10x
X + -1x = 5 + 10x

Add 'x' to each side of the equation.
X + -1x + x = 5 + 10x + x

Combine like terms: -1x + x = 0
X + 0 = 5 + 10x + x
X = 5 + 10x + x

Combine like terms: 10x + x = 11x
X = 5 + 11x

Simplifying
X = 5 + 11x

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