X-3(2+x)=4(x-3)

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Solution for X-3(2+x)=4(x-3) equation:


Simplifying
X + -3(2 + x) = 4(x + -3)
X + (2 * -3 + x * -3) = 4(x + -3)
X + (-6 + -3x) = 4(x + -3)

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

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

Solving
-6 + X + -3x = -12 + 4x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X + 6 + -3x = -12 + 6 + 4x

Reorder the terms:
-6 + 6 + X + -3x = -12 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + X + -3x = -12 + 6 + 4x
X + -3x = -12 + 6 + 4x

Combine like terms: -12 + 6 = -6
X + -3x = -6 + 4x

Add '3x' to each side of the equation.
X + -3x + 3x = -6 + 4x + 3x

Combine like terms: -3x + 3x = 0
X + 0 = -6 + 4x + 3x
X = -6 + 4x + 3x

Combine like terms: 4x + 3x = 7x
X = -6 + 7x

Simplifying
X = -6 + 7x

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