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

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


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

Reorder the terms:
2 + -3x = 5x + -2(8 + x)
2 + -3x = 5x + (8 * -2 + x * -2)
2 + -3x = 5x + (-16 + -2x)

Reorder the terms:
2 + -3x = -16 + 5x + -2x

Combine like terms: 5x + -2x = 3x
2 + -3x = -16 + 3x

Solving
2 + -3x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -3x + -3x = -16 + 3x + -3x

Combine like terms: -3x + -3x = -6x
2 + -6x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -6x = -16 + 0
2 + -6x = -16

Add '-2' to each side of the equation.
2 + -2 + -6x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -16 + -2
-6x = -16 + -2

Combine like terms: -16 + -2 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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