(8-2x)3=(5-x)-(6+x)

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Solution for (8-2x)3=(5-x)-(6+x) equation:


Simplifying
(8 + -2x) * 3 = (5 + -1x) + -1(6 + x)

Reorder the terms for easier multiplication:
3(8 + -2x) = (5 + -1x) + -1(6 + x)
(8 * 3 + -2x * 3) = (5 + -1x) + -1(6 + x)
(24 + -6x) = (5 + -1x) + -1(6 + x)

Remove parenthesis around (5 + -1x)
24 + -6x = 5 + -1x + -1(6 + x)
24 + -6x = 5 + -1x + (6 * -1 + x * -1)
24 + -6x = 5 + -1x + (-6 + -1x)

Reorder the terms:
24 + -6x = 5 + -6 + -1x + -1x

Combine like terms: 5 + -6 = -1
24 + -6x = -1 + -1x + -1x

Combine like terms: -1x + -1x = -2x
24 + -6x = -1 + -2x

Solving
24 + -6x = -1 + -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 + -6x + 2x = -1 + -2x + 2x

Combine like terms: -6x + 2x = -4x
24 + -4x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
24 + -4x = -1 + 0
24 + -4x = -1

Add '-24' to each side of the equation.
24 + -24 + -4x = -1 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = -1 + -24
-4x = -1 + -24

Combine like terms: -1 + -24 = -25
-4x = -25

Divide each side by '-4'.
x = 6.25

Simplifying
x = 6.25

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