X-6(x-5)+1=-1+2(x+7)

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Solution for X-6(x-5)+1=-1+2(x+7) equation:


Simplifying
X + -6(x + -5) + 1 = -1 + 2(x + 7)

Reorder the terms:
X + -6(-5 + x) + 1 = -1 + 2(x + 7)
X + (-5 * -6 + x * -6) + 1 = -1 + 2(x + 7)
X + (30 + -6x) + 1 = -1 + 2(x + 7)

Reorder the terms:
30 + 1 + X + -6x = -1 + 2(x + 7)

Combine like terms: 30 + 1 = 31
31 + X + -6x = -1 + 2(x + 7)

Reorder the terms:
31 + X + -6x = -1 + 2(7 + x)
31 + X + -6x = -1 + (7 * 2 + x * 2)
31 + X + -6x = -1 + (14 + 2x)

Combine like terms: -1 + 14 = 13
31 + X + -6x = 13 + 2x

Solving
31 + X + -6x = 13 + 2x

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 = 13 + -31 + 2x

Reorder the terms:
31 + -31 + X + -6x = 13 + -31 + 2x

Combine like terms: 31 + -31 = 0
0 + X + -6x = 13 + -31 + 2x
X + -6x = 13 + -31 + 2x

Combine like terms: 13 + -31 = -18
X + -6x = -18 + 2x

Add '6x' to each side of the equation.
X + -6x + 6x = -18 + 2x + 6x

Combine like terms: -6x + 6x = 0
X + 0 = -18 + 2x + 6x
X = -18 + 2x + 6x

Combine like terms: 2x + 6x = 8x
X = -18 + 8x

Simplifying
X = -18 + 8x

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