5X+(4-x)=9-(x-6)

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Solution for 5X+(4-x)=9-(x-6) equation:


Simplifying
5X + (4 + -1x) = 9 + -1(x + -6)

Remove parenthesis around (4 + -1x)
5X + 4 + -1x = 9 + -1(x + -6)

Reorder the terms:
4 + 5X + -1x = 9 + -1(x + -6)

Reorder the terms:
4 + 5X + -1x = 9 + -1(-6 + x)
4 + 5X + -1x = 9 + (-6 * -1 + x * -1)
4 + 5X + -1x = 9 + (6 + -1x)

Combine like terms: 9 + 6 = 15
4 + 5X + -1x = 15 + -1x

Add 'x' to each side of the equation.
4 + 5X + -1x + x = 15 + -1x + x

Combine like terms: -1x + x = 0
4 + 5X + 0 = 15 + -1x + x
4 + 5X = 15 + -1x + x

Combine like terms: -1x + x = 0
4 + 5X = 15 + 0
4 + 5X = 15

Solving
4 + 5X = 15

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -4 + 5X = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 5X = 15 + -4
5X = 15 + -4

Combine like terms: 15 + -4 = 11
5X = 11

Divide each side by '5'.
X = 2.2

Simplifying
X = 2.2

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