(X-4)-(3-x)=5x+2

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Solution for (X-4)-(3-x)=5x+2 equation:


Simplifying
(X + -4) + -1(3 + -1x) = 5x + 2

Reorder the terms:
(-4 + X) + -1(3 + -1x) = 5x + 2

Remove parenthesis around (-4 + X)
-4 + X + -1(3 + -1x) = 5x + 2
-4 + X + (3 * -1 + -1x * -1) = 5x + 2
-4 + X + (-3 + 1x) = 5x + 2

Reorder the terms:
-4 + -3 + X + 1x = 5x + 2

Combine like terms: -4 + -3 = -7
-7 + X + 1x = 5x + 2

Reorder the terms:
-7 + X + 1x = 2 + 5x

Solving
-7 + X + 1x = 2 + 5x

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + X + 7 + 1x = 2 + 7 + 5x

Reorder the terms:
-7 + 7 + X + 1x = 2 + 7 + 5x

Combine like terms: -7 + 7 = 0
0 + X + 1x = 2 + 7 + 5x
X + 1x = 2 + 7 + 5x

Combine like terms: 2 + 7 = 9
X + 1x = 9 + 5x

Add '-1x' to each side of the equation.
X + 1x + -1x = 9 + 5x + -1x

Combine like terms: 1x + -1x = 0
X + 0 = 9 + 5x + -1x
X = 9 + 5x + -1x

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

Simplifying
X = 9 + 4x

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