-2(x-4)-3x=(4x+1)+2x

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Solution for -2(x-4)-3x=(4x+1)+2x equation:


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

Reorder the terms:
-2(-4 + x) + -3x = (4x + 1) + 2x
(-4 * -2 + x * -2) + -3x = (4x + 1) + 2x
(8 + -2x) + -3x = (4x + 1) + 2x

Combine like terms: -2x + -3x = -5x
8 + -5x = (4x + 1) + 2x

Reorder the terms:
8 + -5x = (1 + 4x) + 2x

Remove parenthesis around (1 + 4x)
8 + -5x = 1 + 4x + 2x

Combine like terms: 4x + 2x = 6x
8 + -5x = 1 + 6x

Solving
8 + -5x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + -5x + -6x = 1 + 6x + -6x

Combine like terms: -5x + -6x = -11x
8 + -11x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -11x = 1 + 0
8 + -11x = 1

Add '-8' to each side of the equation.
8 + -8 + -11x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = 1 + -8
-11x = 1 + -8

Combine like terms: 1 + -8 = -7
-11x = -7

Divide each side by '-11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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