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

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


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

Reorder the terms:
5x + -2(-3 + 2x) = 3x
5x + (-3 * -2 + 2x * -2) = 3x
5x + (6 + -4x) = 3x

Reorder the terms:
6 + 5x + -4x = 3x

Combine like terms: 5x + -4x = 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 = -2x
6 + -2x = 3x + -3x

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 0 + -6

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

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

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

Simplifying
x = 3

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