(2x+3)-6x=-6+4x+1

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Solution for (2x+3)-6x=-6+4x+1 equation:


Simplifying
(2x + 3) + -6x = -6 + 4x + 1

Reorder the terms:
(3 + 2x) + -6x = -6 + 4x + 1

Remove parenthesis around (3 + 2x)
3 + 2x + -6x = -6 + 4x + 1

Combine like terms: 2x + -6x = -4x
3 + -4x = -6 + 4x + 1

Reorder the terms:
3 + -4x = -6 + 1 + 4x

Combine like terms: -6 + 1 = -5
3 + -4x = -5 + 4x

Solving
3 + -4x = -5 + 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.
3 + -4x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -8x = -5 + 0
3 + -8x = -5

Add '-3' to each side of the equation.
3 + -3 + -8x = -5 + -3

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

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

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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