X-6(x-5)+1=2x+4(x-20)

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Solution for X-6(x-5)+1=2x+4(x-20) equation:


Simplifying
X + -6(x + -5) + 1 = 2x + 4(x + -20)

Reorder the terms:
X + -6(-5 + x) + 1 = 2x + 4(x + -20)
X + (-5 * -6 + x * -6) + 1 = 2x + 4(x + -20)
X + (30 + -6x) + 1 = 2x + 4(x + -20)

Reorder the terms:
30 + 1 + X + -6x = 2x + 4(x + -20)

Combine like terms: 30 + 1 = 31
31 + X + -6x = 2x + 4(x + -20)

Reorder the terms:
31 + X + -6x = 2x + 4(-20 + x)
31 + X + -6x = 2x + (-20 * 4 + x * 4)
31 + X + -6x = 2x + (-80 + 4x)

Reorder the terms:
31 + X + -6x = -80 + 2x + 4x

Combine like terms: 2x + 4x = 6x
31 + X + -6x = -80 + 6x

Solving
31 + X + -6x = -80 + 6x

Solving for variable 'X'.

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

Add '-31' to each side of the equation.
31 + X + -31 + -6x = -80 + -31 + 6x

Reorder the terms:
31 + -31 + X + -6x = -80 + -31 + 6x

Combine like terms: 31 + -31 = 0
0 + X + -6x = -80 + -31 + 6x
X + -6x = -80 + -31 + 6x

Combine like terms: -80 + -31 = -111
X + -6x = -111 + 6x

Add '6x' to each side of the equation.
X + -6x + 6x = -111 + 6x + 6x

Combine like terms: -6x + 6x = 0
X + 0 = -111 + 6x + 6x
X = -111 + 6x + 6x

Combine like terms: 6x + 6x = 12x
X = -111 + 12x

Simplifying
X = -111 + 12x

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