X-3(x-2)=7x-(2x+5)

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Solution for X-3(x-2)=7x-(2x+5) equation:


Simplifying
X + -3(x + -2) = 7x + -1(2x + 5)

Reorder the terms:
X + -3(-2 + x) = 7x + -1(2x + 5)
X + (-2 * -3 + x * -3) = 7x + -1(2x + 5)
X + (6 + -3x) = 7x + -1(2x + 5)

Reorder the terms:
6 + X + -3x = 7x + -1(2x + 5)

Reorder the terms:
6 + X + -3x = 7x + -1(5 + 2x)
6 + X + -3x = 7x + (5 * -1 + 2x * -1)
6 + X + -3x = 7x + (-5 + -2x)

Reorder the terms:
6 + X + -3x = -5 + 7x + -2x

Combine like terms: 7x + -2x = 5x
6 + X + -3x = -5 + 5x

Solving
6 + X + -3x = -5 + 5x

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 = -5 + -6 + 5x

Reorder the terms:
6 + -6 + X + -3x = -5 + -6 + 5x

Combine like terms: 6 + -6 = 0
0 + X + -3x = -5 + -6 + 5x
X + -3x = -5 + -6 + 5x

Combine like terms: -5 + -6 = -11
X + -3x = -11 + 5x

Add '3x' to each side of the equation.
X + -3x + 3x = -11 + 5x + 3x

Combine like terms: -3x + 3x = 0
X + 0 = -11 + 5x + 3x
X = -11 + 5x + 3x

Combine like terms: 5x + 3x = 8x
X = -11 + 8x

Simplifying
X = -11 + 8x

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