X-4(3-x)+7=6-(x-4)

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Solution for X-4(3-x)+7=6-(x-4) equation:


Simplifying
X + -4(3 + -1x) + 7 = 6 + -1(x + -4)
X + (3 * -4 + -1x * -4) + 7 = 6 + -1(x + -4)
X + (-12 + 4x) + 7 = 6 + -1(x + -4)

Reorder the terms:
-12 + 7 + X + 4x = 6 + -1(x + -4)

Combine like terms: -12 + 7 = -5
-5 + X + 4x = 6 + -1(x + -4)

Reorder the terms:
-5 + X + 4x = 6 + -1(-4 + x)
-5 + X + 4x = 6 + (-4 * -1 + x * -1)
-5 + X + 4x = 6 + (4 + -1x)

Combine like terms: 6 + 4 = 10
-5 + X + 4x = 10 + -1x

Solving
-5 + X + 4x = 10 + -1x

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X + 5 + 4x = 10 + 5 + -1x

Reorder the terms:
-5 + 5 + X + 4x = 10 + 5 + -1x

Combine like terms: -5 + 5 = 0
0 + X + 4x = 10 + 5 + -1x
X + 4x = 10 + 5 + -1x

Combine like terms: 10 + 5 = 15
X + 4x = 15 + -1x

Add '-4x' to each side of the equation.
X + 4x + -4x = 15 + -1x + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 15 + -1x + -4x
X = 15 + -1x + -4x

Combine like terms: -1x + -4x = -5x
X = 15 + -5x

Simplifying
X = 15 + -5x

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