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

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


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

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

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

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

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

Solving
-2x = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2x + -1x = 6 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-3x = 6 + 0
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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