1.2(3x-6)=3(x-2)

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Solution for 1.2(3x-6)=3(x-2) equation:


Simplifying
1.2(3x + -6) = 3(x + -2)

Reorder the terms:
1.2(-6 + 3x) = 3(x + -2)
(-6 * 1.2 + 3x * 1.2) = 3(x + -2)
(-7.2 + 3.6x) = 3(x + -2)

Reorder the terms:
-7.2 + 3.6x = 3(-2 + x)
-7.2 + 3.6x = (-2 * 3 + x * 3)
-7.2 + 3.6x = (-6 + 3x)

Solving
-7.2 + 3.6x = -6 + 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.
-7.2 + 3.6x + -3x = -6 + 3x + -3x

Combine like terms: 3.6x + -3x = 0.6x
-7.2 + 0.6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7.2 + 0.6x = -6 + 0
-7.2 + 0.6x = -6

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 0.6x = -6 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 0.6x = -6 + 7.2
0.6x = -6 + 7.2

Combine like terms: -6 + 7.2 = 1.2
0.6x = 1.2

Divide each side by '0.6'.
x = 2

Simplifying
x = 2

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