x-2(x-3)=3x

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


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

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

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

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

Solving
6 + -1x = 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.
6 + -1x + -3x = 3x + -3x

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

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

Add '-6' to each side of the equation.
6 + -6 + -4x = 0 + -6

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

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

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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