X+6(x-4)=3(x-4)-48

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Solution for X+6(x-4)=3(x-4)-48 equation:


Simplifying
X + 6(x + -4) = 3(x + -4) + -48

Reorder the terms:
X + 6(-4 + x) = 3(x + -4) + -48
X + (-4 * 6 + x * 6) = 3(x + -4) + -48
X + (-24 + 6x) = 3(x + -4) + -48

Reorder the terms:
-24 + X + 6x = 3(x + -4) + -48

Reorder the terms:
-24 + X + 6x = 3(-4 + x) + -48
-24 + X + 6x = (-4 * 3 + x * 3) + -48
-24 + X + 6x = (-12 + 3x) + -48

Reorder the terms:
-24 + X + 6x = -12 + -48 + 3x

Combine like terms: -12 + -48 = -60
-24 + X + 6x = -60 + 3x

Solving
-24 + X + 6x = -60 + 3x

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + X + 24 + 6x = -60 + 24 + 3x

Reorder the terms:
-24 + 24 + X + 6x = -60 + 24 + 3x

Combine like terms: -24 + 24 = 0
0 + X + 6x = -60 + 24 + 3x
X + 6x = -60 + 24 + 3x

Combine like terms: -60 + 24 = -36
X + 6x = -36 + 3x

Add '-6x' to each side of the equation.
X + 6x + -6x = -36 + 3x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = -36 + 3x + -6x
X = -36 + 3x + -6x

Combine like terms: 3x + -6x = -3x
X = -36 + -3x

Simplifying
X = -36 + -3x

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