X-(5x+2)=3(x-4)

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Solution for X-(5x+2)=3(x-4) equation:


Simplifying
X + -1(5x + 2) = 3(x + -4)

Reorder the terms:
X + -1(2 + 5x) = 3(x + -4)
X + (2 * -1 + 5x * -1) = 3(x + -4)
X + (-2 + -5x) = 3(x + -4)

Reorder the terms:
-2 + X + -5x = 3(x + -4)

Reorder the terms:
-2 + X + -5x = 3(-4 + x)
-2 + X + -5x = (-4 * 3 + x * 3)
-2 + X + -5x = (-12 + 3x)

Solving
-2 + X + -5x = -12 + 3x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X + 2 + -5x = -12 + 2 + 3x

Reorder the terms:
-2 + 2 + X + -5x = -12 + 2 + 3x

Combine like terms: -2 + 2 = 0
0 + X + -5x = -12 + 2 + 3x
X + -5x = -12 + 2 + 3x

Combine like terms: -12 + 2 = -10
X + -5x = -10 + 3x

Add '5x' to each side of the equation.
X + -5x + 5x = -10 + 3x + 5x

Combine like terms: -5x + 5x = 0
X + 0 = -10 + 3x + 5x
X = -10 + 3x + 5x

Combine like terms: 3x + 5x = 8x
X = -10 + 8x

Simplifying
X = -10 + 8x

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