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

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


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

Reorder the terms:
6X + -3(12 + 5X) = 4(1 + -1X)
6X + (12 * -3 + 5X * -3) = 4(1 + -1X)
6X + (-36 + -15X) = 4(1 + -1X)

Reorder the terms:
-36 + 6X + -15X = 4(1 + -1X)

Combine like terms: 6X + -15X = -9X
-36 + -9X = 4(1 + -1X)
-36 + -9X = (1 * 4 + -1X * 4)
-36 + -9X = (4 + -4X)

Solving
-36 + -9X = 4 + -4X

Solving for variable 'X'.

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

Add '4X' to each side of the equation.
-36 + -9X + 4X = 4 + -4X + 4X

Combine like terms: -9X + 4X = -5X
-36 + -5X = 4 + -4X + 4X

Combine like terms: -4X + 4X = 0
-36 + -5X = 4 + 0
-36 + -5X = 4

Add '36' to each side of the equation.
-36 + 36 + -5X = 4 + 36

Combine like terms: -36 + 36 = 0
0 + -5X = 4 + 36
-5X = 4 + 36

Combine like terms: 4 + 36 = 40
-5X = 40

Divide each side by '-5'.
X = -8

Simplifying
X = -8

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