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

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


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

Reorder the terms:
3(-3 + 2X) = -2(x + -5) + 3
(-3 * 3 + 2X * 3) = -2(x + -5) + 3
(-9 + 6X) = -2(x + -5) + 3

Reorder the terms:
-9 + 6X = -2(-5 + x) + 3
-9 + 6X = (-5 * -2 + x * -2) + 3
-9 + 6X = (10 + -2x) + 3

Reorder the terms:
-9 + 6X = 10 + 3 + -2x

Combine like terms: 10 + 3 = 13
-9 + 6X = 13 + -2x

Solving
-9 + 6X = 13 + -2x

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 9 + 6X = 13 + 9 + -2x

Combine like terms: -9 + 9 = 0
0 + 6X = 13 + 9 + -2x
6X = 13 + 9 + -2x

Combine like terms: 13 + 9 = 22
6X = 22 + -2x

Divide each side by '6'.
X = 3.666666667 + -0.3333333333x

Simplifying
X = 3.666666667 + -0.3333333333x

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