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

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


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

Reorder the terms:
5(6 + x) = -4(-5 + -2x) + 3x
(6 * 5 + x * 5) = -4(-5 + -2x) + 3x
(30 + 5x) = -4(-5 + -2x) + 3x
30 + 5x = (-5 * -4 + -2x * -4) + 3x
30 + 5x = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
30 + 5x = 20 + 11x

Solving
30 + 5x = 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.
30 + 5x + -11x = 20 + 11x + -11x

Combine like terms: 5x + -11x = -6x
30 + -6x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0
30 + -6x = 20 + 0
30 + -6x = 20

Add '-30' to each side of the equation.
30 + -30 + -6x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + -6x = 20 + -30
-6x = 20 + -30

Combine like terms: 20 + -30 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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