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

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Solution for X+3(2-5x)=x-(1-3x) equation:


Simplifying
X + 3(2 + -5x) = x + -1(1 + -3x)
X + (2 * 3 + -5x * 3) = x + -1(1 + -3x)
X + (6 + -15x) = x + -1(1 + -3x)

Reorder the terms:
6 + X + -15x = x + -1(1 + -3x)
6 + X + -15x = x + (1 * -1 + -3x * -1)
6 + X + -15x = x + (-1 + 3x)

Reorder the terms:
6 + X + -15x = -1 + x + 3x

Combine like terms: x + 3x = 4x
6 + X + -15x = -1 + 4x

Solving
6 + X + -15x = -1 + 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 + -15x = -1 + -6 + 4x

Reorder the terms:
6 + -6 + X + -15x = -1 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + X + -15x = -1 + -6 + 4x
X + -15x = -1 + -6 + 4x

Combine like terms: -1 + -6 = -7
X + -15x = -7 + 4x

Add '15x' to each side of the equation.
X + -15x + 15x = -7 + 4x + 15x

Combine like terms: -15x + 15x = 0
X + 0 = -7 + 4x + 15x
X = -7 + 4x + 15x

Combine like terms: 4x + 15x = 19x
X = -7 + 19x

Simplifying
X = -7 + 19x

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