(2x-3)*3-(2x-3)=0

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Solution for (2x-3)*3-(2x-3)=0 equation:


Simplifying
(2x + -3) * 3 + -1(2x + -3) = 0

Reorder the terms:
(-3 + 2x) * 3 + -1(2x + -3) = 0

Reorder the terms for easier multiplication:
3(-3 + 2x) + -1(2x + -3) = 0
(-3 * 3 + 2x * 3) + -1(2x + -3) = 0
(-9 + 6x) + -1(2x + -3) = 0

Reorder the terms:
-9 + 6x + -1(-3 + 2x) = 0
-9 + 6x + (-3 * -1 + 2x * -1) = 0
-9 + 6x + (3 + -2x) = 0

Reorder the terms:
-9 + 3 + 6x + -2x = 0

Combine like terms: -9 + 3 = -6
-6 + 6x + -2x = 0

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

Solving
-6 + 4x = 0

Solving for variable 'x'.

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

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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