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

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


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

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

Solving
30 + 5x = 20 + 8x + 3y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + 5x + -8x = 20 + 8x + -8x + 3y

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

Combine like terms: 8x + -8x = 0
30 + -3x = 20 + 0 + 3y
30 + -3x = 20 + 3y

Add '-30' to each side of the equation.
30 + -30 + -3x = 20 + -30 + 3y

Combine like terms: 30 + -30 = 0
0 + -3x = 20 + -30 + 3y
-3x = 20 + -30 + 3y

Combine like terms: 20 + -30 = -10
-3x = -10 + 3y

Divide each side by '-3'.
x = 3.333333333 + -1y

Simplifying
x = 3.333333333 + -1y

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