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

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


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

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

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

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

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

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

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

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

Combine like terms: 4 + 5 = 9
-3 + 5x = (9 + 2x + -3x)

Combine like terms: 2x + -3x = -1x
-3 + 5x = (9 + -1x)

Remove parenthesis around (9 + -1x)
-3 + 5x = 9 + -1x

Solving
-3 + 5x = 9 + -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.
-3 + 5x + x = 9 + -1x + x

Combine like terms: 5x + x = 6x
-3 + 6x = 9 + -1x + x

Combine like terms: -1x + x = 0
-3 + 6x = 9 + 0
-3 + 6x = 9

Add '3' to each side of the equation.
-3 + 3 + 6x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 9 + 3
6x = 9 + 3

Combine like terms: 9 + 3 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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