2x-(3x+5)+2=5x-14

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Solution for 2x-(3x+5)+2=5x-14 equation: 


Simplifying
2x + -1(3x + 5) + 2 = 5x + -14

Reorder the terms:
2x + -1(5 + 3x) + 2 = 5x + -14
2x + (5 * -1 + 3x * -1) + 2 = 5x + -14
2x + (-5 + -3x) + 2 = 5x + -14

Reorder the terms:
-5 + 2 + 2x + -3x = 5x + -14

Combine like terms: -5 + 2 = -3
-3 + 2x + -3x = 5x + -14

Combine like terms: 2x + -3x = -1x
-3 + -1x = 5x + -14

Reorder the terms:
-3 + -1x = -14 + 5x

Solving
-3 + -1x = -14 + 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.
-3 + -1x + -5x = -14 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-3 + -6x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -6x = -14 + 0
-3 + -6x = -14

Add '3' to each side of the equation.
-3 + 3 + -6x = -14 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -14 + 3
-6x = -14 + 3

Combine like terms: -14 + 3 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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