(4x-3)-3x+5=-5x-16

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Solution for (4x-3)-3x+5=-5x-16 equation:


Simplifying
(4x + -3) + -3x + 5 = -5x + -16

Reorder the terms:
(-3 + 4x) + -3x + 5 = -5x + -16

Remove parenthesis around (-3 + 4x)
-3 + 4x + -3x + 5 = -5x + -16

Reorder the terms:
-3 + 5 + 4x + -3x = -5x + -16

Combine like terms: -3 + 5 = 2
2 + 4x + -3x = -5x + -16

Combine like terms: 4x + -3x = 1x
2 + 1x = -5x + -16

Reorder the terms:
2 + 1x = -16 + -5x

Solving
2 + 1x = -16 + -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.
2 + 1x + 5x = -16 + -5x + 5x

Combine like terms: 1x + 5x = 6x
2 + 6x = -16 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 6x = -16 + 0
2 + 6x = -16

Add '-2' to each side of the equation.
2 + -2 + 6x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = -16 + -2
6x = -16 + -2

Combine like terms: -16 + -2 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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