(3X-5)-(X+4)=3-X

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Solution for (3X-5)-(X+4)=3-X equation:


Simplifying
(3X + -5) + -1(X + 4) = 3 + -1X

Reorder the terms:
(-5 + 3X) + -1(X + 4) = 3 + -1X

Remove parenthesis around (-5 + 3X)
-5 + 3X + -1(X + 4) = 3 + -1X

Reorder the terms:
-5 + 3X + -1(4 + X) = 3 + -1X
-5 + 3X + (4 * -1 + X * -1) = 3 + -1X
-5 + 3X + (-4 + -1X) = 3 + -1X

Reorder the terms:
-5 + -4 + 3X + -1X = 3 + -1X

Combine like terms: -5 + -4 = -9
-9 + 3X + -1X = 3 + -1X

Combine like terms: 3X + -1X = 2X
-9 + 2X = 3 + -1X

Solving
-9 + 2X = 3 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
-9 + 2X + X = 3 + -1X + X

Combine like terms: 2X + X = 3X
-9 + 3X = 3 + -1X + X

Combine like terms: -1X + X = 0
-9 + 3X = 3 + 0
-9 + 3X = 3

Add '9' to each side of the equation.
-9 + 9 + 3X = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 3X = 3 + 9
3X = 3 + 9

Combine like terms: 3 + 9 = 12
3X = 12

Divide each side by '3'.
X = 4

Simplifying
X = 4

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