(-5x+2)-(6x+3)=3x

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Solution for (-5x+2)-(6x+3)=3x equation:


Simplifying
(-5x + 2) + -1(6x + 3) = 3x

Reorder the terms:
(2 + -5x) + -1(6x + 3) = 3x

Remove parenthesis around (2 + -5x)
2 + -5x + -1(6x + 3) = 3x

Reorder the terms:
2 + -5x + -1(3 + 6x) = 3x
2 + -5x + (3 * -1 + 6x * -1) = 3x
2 + -5x + (-3 + -6x) = 3x

Reorder the terms:
2 + -3 + -5x + -6x = 3x

Combine like terms: 2 + -3 = -1
-1 + -5x + -6x = 3x

Combine like terms: -5x + -6x = -11x
-1 + -11x = 3x

Solving
-1 + -11x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + -11x + -3x = 3x + -3x

Combine like terms: -11x + -3x = -14x
-1 + -14x = 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -14x = 0

Add '1' to each side of the equation.
-1 + 1 + -14x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -14x = 0 + 1
-14x = 0 + 1

Combine like terms: 0 + 1 = 1
-14x = 1

Divide each side by '-14'.
x = -0.07142857143

Simplifying
x = -0.07142857143

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