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

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


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

Reorder the terms:
2x + -3(-8 + 3x) = (2x + 8)
2x + (-8 * -3 + 3x * -3) = (2x + 8)
2x + (24 + -9x) = (2x + 8)

Reorder the terms:
24 + 2x + -9x = (2x + 8)

Combine like terms: 2x + -9x = -7x
24 + -7x = (2x + 8)

Reorder the terms:
24 + -7x = (8 + 2x)

Remove parenthesis around (8 + 2x)
24 + -7x = 8 + 2x

Solving
24 + -7x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + -7x + -2x = 8 + 2x + -2x

Combine like terms: -7x + -2x = -9x
24 + -9x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + -9x = 8 + 0
24 + -9x = 8

Add '-24' to each side of the equation.
24 + -24 + -9x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = 8 + -24
-9x = 8 + -24

Combine like terms: 8 + -24 = -16
-9x = -16

Divide each side by '-9'.
x = 1.777777778

Simplifying
x = 1.777777778

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