(2x+6)=-4(-5-2x)+3x

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Solution for (2x+6)=-4(-5-2x)+3x equation:


Simplifying
(2x + 6) = -4(-5 + -2x) + 3x

Reorder the terms:
(6 + 2x) = -4(-5 + -2x) + 3x

Remove parenthesis around (6 + 2x)
6 + 2x = -4(-5 + -2x) + 3x
6 + 2x = (-5 * -4 + -2x * -4) + 3x
6 + 2x = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
6 + 2x = 20 + 11x

Solving
6 + 2x = 20 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
6 + 2x + -11x = 20 + 11x + -11x

Combine like terms: 2x + -11x = -9x
6 + -9x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -9x = 20 + 0
6 + -9x = 20

Add '-6' to each side of the equation.
6 + -6 + -9x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 20 + -6
-9x = 20 + -6

Combine like terms: 20 + -6 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

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