4X-(5X-3)+7X-4=3X+5-(3-2X)

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Solution for 4X-(5X-3)+7X-4=3X+5-(3-2X) equation:


Simplifying
4X + -1(5X + -3) + 7X + -4 = 3X + 5 + -1(3 + -2X)

Reorder the terms:
4X + -1(-3 + 5X) + 7X + -4 = 3X + 5 + -1(3 + -2X)
4X + (-3 * -1 + 5X * -1) + 7X + -4 = 3X + 5 + -1(3 + -2X)
4X + (3 + -5X) + 7X + -4 = 3X + 5 + -1(3 + -2X)

Reorder the terms:
3 + -4 + 4X + -5X + 7X = 3X + 5 + -1(3 + -2X)

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

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

Combine like terms: -1X + 7X = 6X
-1 + 6X = 3X + 5 + -1(3 + -2X)
-1 + 6X = 3X + 5 + (3 * -1 + -2X * -1)
-1 + 6X = 3X + 5 + (-3 + 2X)

Reorder the terms:
-1 + 6X = 5 + -3 + 3X + 2X

Combine like terms: 5 + -3 = 2
-1 + 6X = 2 + 3X + 2X

Combine like terms: 3X + 2X = 5X
-1 + 6X = 2 + 5X

Solving
-1 + 6X = 2 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
-1 + 6X + -5X = 2 + 5X + -5X

Combine like terms: 6X + -5X = 1X
-1 + 1X = 2 + 5X + -5X

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

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

Combine like terms: -1 + 1 = 0
0 + 1X = 2 + 1
1X = 2 + 1

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

Divide each side by '1'.
X = 3

Simplifying
X = 3

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