X-2(2x-7)=2(x-8)

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Solution for X-2(2x-7)=2(x-8) equation:


Simplifying
X + -2(2x + -7) = 2(x + -8)

Reorder the terms:
X + -2(-7 + 2x) = 2(x + -8)
X + (-7 * -2 + 2x * -2) = 2(x + -8)
X + (14 + -4x) = 2(x + -8)

Reorder the terms:
14 + X + -4x = 2(x + -8)

Reorder the terms:
14 + X + -4x = 2(-8 + x)
14 + X + -4x = (-8 * 2 + x * 2)
14 + X + -4x = (-16 + 2x)

Solving
14 + X + -4x = -16 + 2x

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + X + -14 + -4x = -16 + -14 + 2x

Reorder the terms:
14 + -14 + X + -4x = -16 + -14 + 2x

Combine like terms: 14 + -14 = 0
0 + X + -4x = -16 + -14 + 2x
X + -4x = -16 + -14 + 2x

Combine like terms: -16 + -14 = -30
X + -4x = -30 + 2x

Add '4x' to each side of the equation.
X + -4x + 4x = -30 + 2x + 4x

Combine like terms: -4x + 4x = 0
X + 0 = -30 + 2x + 4x
X = -30 + 2x + 4x

Combine like terms: 2x + 4x = 6x
X = -30 + 6x

Simplifying
X = -30 + 6x

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