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

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


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

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

Combine like terms: 3x + -3x = 0
-6 + 0 = 3(2x + -5)
-6 = 3(2x + -5)

Reorder the terms:
-6 = 3(-5 + 2x)
-6 = (-5 * 3 + 2x * 3)
-6 = (-15 + 6x)

Solving
-6 = -15 + 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.
-6 + -6x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -6x = -15 + 0
-6 + -6x = -15

Add '6' to each side of the equation.
-6 + 6 + -6x = -15 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -15 + 6
-6x = -15 + 6

Combine like terms: -15 + 6 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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