X-2(x-5)=3x-(8-x)

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Solution for X-2(x-5)=3x-(8-x) equation:


Simplifying
X + -2(x + -5) = 3x + -1(8 + -1x)

Reorder the terms:
X + -2(-5 + x) = 3x + -1(8 + -1x)
X + (-5 * -2 + x * -2) = 3x + -1(8 + -1x)
X + (10 + -2x) = 3x + -1(8 + -1x)

Reorder the terms:
10 + X + -2x = 3x + -1(8 + -1x)
10 + X + -2x = 3x + (8 * -1 + -1x * -1)
10 + X + -2x = 3x + (-8 + 1x)

Reorder the terms:
10 + X + -2x = -8 + 3x + 1x

Combine like terms: 3x + 1x = 4x
10 + X + -2x = -8 + 4x

Solving
10 + X + -2x = -8 + 4x

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X + -10 + -2x = -8 + -10 + 4x

Reorder the terms:
10 + -10 + X + -2x = -8 + -10 + 4x

Combine like terms: 10 + -10 = 0
0 + X + -2x = -8 + -10 + 4x
X + -2x = -8 + -10 + 4x

Combine like terms: -8 + -10 = -18
X + -2x = -18 + 4x

Add '2x' to each side of the equation.
X + -2x + 2x = -18 + 4x + 2x

Combine like terms: -2x + 2x = 0
X + 0 = -18 + 4x + 2x
X = -18 + 4x + 2x

Combine like terms: 4x + 2x = 6x
X = -18 + 6x

Simplifying
X = -18 + 6x

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