(-6x+3)+(14x+2)-(3x+7)+(2x-3)=

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Solution for (-6x+3)+(14x+2)-(3x+7)+(2x-3)= equation: 


Simplifying
(-6x + 3) + (14x + 2) + -1(3x + 7) + (2x + -3) = 0

Reorder the terms:
(3 + -6x) + (14x + 2) + -1(3x + 7) + (2x + -3) = 0

Remove parenthesis around (3 + -6x)
3 + -6x + (14x + 2) + -1(3x + 7) + (2x + -3) = 0

Reorder the terms:
3 + -6x + (2 + 14x) + -1(3x + 7) + (2x + -3) = 0

Remove parenthesis around (2 + 14x)
3 + -6x + 2 + 14x + -1(3x + 7) + (2x + -3) = 0

Reorder the terms:
3 + -6x + 2 + 14x + -1(7 + 3x) + (2x + -3) = 0
3 + -6x + 2 + 14x + (7 * -1 + 3x * -1) + (2x + -3) = 0
3 + -6x + 2 + 14x + (-7 + -3x) + (2x + -3) = 0

Reorder the terms:
3 + -6x + 2 + 14x + -7 + -3x + (-3 + 2x) = 0

Remove parenthesis around (-3 + 2x)
3 + -6x + 2 + 14x + -7 + -3x + -3 + 2x = 0

Reorder the terms:
3 + 2 + -7 + -3 + -6x + 14x + -3x + 2x = 0

Combine like terms: 3 + 2 = 5
5 + -7 + -3 + -6x + 14x + -3x + 2x = 0

Combine like terms: 5 + -7 = -2
-2 + -3 + -6x + 14x + -3x + 2x = 0

Combine like terms: -2 + -3 = -5
-5 + -6x + 14x + -3x + 2x = 0

Combine like terms: -6x + 14x = 8x
-5 + 8x + -3x + 2x = 0

Combine like terms: 8x + -3x = 5x
-5 + 5x + 2x = 0

Combine like terms: 5x + 2x = 7x
-5 + 7x = 0

Solving
-5 + 7x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 0 + 5
7x = 0 + 5

Combine like terms: 0 + 5 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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