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

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


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

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

Remove parenthesis around (5 + 3x)
5 + 3x = 5(2x + -4) + -4x

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

Combine like terms: 10x + -4x = 6x
5 + 3x = -20 + 6x

Solving
5 + 3x = -20 + 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.
5 + 3x + -6x = -20 + 6x + -6x

Combine like terms: 3x + -6x = -3x
5 + -3x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -3x = -20 + 0
5 + -3x = -20

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

Combine like terms: 5 + -5 = 0
0 + -3x = -20 + -5
-3x = -20 + -5

Combine like terms: -20 + -5 = -25
-3x = -25

Divide each side by '-3'.
x = 8.333333333

Simplifying
x = 8.333333333

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