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

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


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

Reorder the terms:
5(6 + 2x) = 4(-5 + -2x) + 3x
(6 * 5 + 2x * 5) = 4(-5 + -2x) + 3x
(30 + 10x) = 4(-5 + -2x) + 3x
30 + 10x = (-5 * 4 + -2x * 4) + 3x
30 + 10x = (-20 + -8x) + 3x

Combine like terms: -8x + 3x = -5x
30 + 10x = -20 + -5x

Solving
30 + 10x = -20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
30 + 10x + 5x = -20 + -5x + 5x

Combine like terms: 10x + 5x = 15x
30 + 15x = -20 + -5x + 5x

Combine like terms: -5x + 5x = 0
30 + 15x = -20 + 0
30 + 15x = -20

Add '-30' to each side of the equation.
30 + -30 + 15x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + 15x = -20 + -30
15x = -20 + -30

Combine like terms: -20 + -30 = -50
15x = -50

Divide each side by '15'.
x = -3.333333333

Simplifying
x = -3.333333333

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