(2x-3)=6x+2

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


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

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

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

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

Solving
-3 + 2x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 2x + -6x = 2 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-3 + -4x = 2 + 0
-3 + -4x = 2

Add '3' to each side of the equation.
-3 + 3 + -4x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 2 + 3
-4x = 2 + 3

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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