(5x-5)-(2x+14)=4x+8

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Solution for (5x-5)-(2x+14)=4x+8 equation:


Simplifying
(5x + -5) + -1(2x + 14) = 4x + 8

Reorder the terms:
(-5 + 5x) + -1(2x + 14) = 4x + 8

Remove parenthesis around (-5 + 5x)
-5 + 5x + -1(2x + 14) = 4x + 8

Reorder the terms:
-5 + 5x + -1(14 + 2x) = 4x + 8
-5 + 5x + (14 * -1 + 2x * -1) = 4x + 8
-5 + 5x + (-14 + -2x) = 4x + 8

Reorder the terms:
-5 + -14 + 5x + -2x = 4x + 8

Combine like terms: -5 + -14 = -19
-19 + 5x + -2x = 4x + 8

Combine like terms: 5x + -2x = 3x
-19 + 3x = 4x + 8

Reorder the terms:
-19 + 3x = 8 + 4x

Solving
-19 + 3x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-19 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-19 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + -1x = 8 + 0
-19 + -1x = 8

Add '19' to each side of the equation.
-19 + 19 + -1x = 8 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 8 + 19
-1x = 8 + 19

Combine like terms: 8 + 19 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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