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

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

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

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

Combine like terms: 1 + -3 = -2
6 + X + -15x = x + -1(-2)

Multiply -1 * -2
6 + X + -15x = x + 2

Reorder the terms:
6 + X + -15x = 2 + x

Solving
6 + X + -15x = 2 + x

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 = 2 + -6 + x

Reorder the terms:
6 + -6 + X + -15x = 2 + -6 + x

Combine like terms: 6 + -6 = 0
0 + X + -15x = 2 + -6 + x
X + -15x = 2 + -6 + x

Combine like terms: 2 + -6 = -4
X + -15x = -4 + x

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

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

Combine like terms: x + 15x = 16x
X = -4 + 16x

Simplifying
X = -4 + 16x