3(5X-1)-2(4X-3)=6X+12

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Solution for 3(5X-1)-2(4X-3)=6X+12 equation: 


Simplifying
3(5X + -1) + -2(4X + -3) = 6X + 12

Reorder the terms:
3(-1 + 5X) + -2(4X + -3) = 6X + 12
(-1 * 3 + 5X * 3) + -2(4X + -3) = 6X + 12
(-3 + 15X) + -2(4X + -3) = 6X + 12

Reorder the terms:
-3 + 15X + -2(-3 + 4X) = 6X + 12
-3 + 15X + (-3 * -2 + 4X * -2) = 6X + 12
-3 + 15X + (6 + -8X) = 6X + 12

Reorder the terms:
-3 + 6 + 15X + -8X = 6X + 12

Combine like terms: -3 + 6 = 3
3 + 15X + -8X = 6X + 12

Combine like terms: 15X + -8X = 7X
3 + 7X = 6X + 12

Reorder the terms:
3 + 7X = 12 + 6X

Solving
3 + 7X = 12 + 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.
3 + 7X + -6X = 12 + 6X + -6X

Combine like terms: 7X + -6X = 1X
3 + 1X = 12 + 6X + -6X

Combine like terms: 6X + -6X = 0
3 + 1X = 12 + 0
3 + 1X = 12

Add '-3' to each side of the equation.
3 + -3 + 1X = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 1X = 12 + -3
1X = 12 + -3

Combine like terms: 12 + -3 = 9
1X = 9

Divide each side by '1'.
X = 9

Simplifying
X = 9

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