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

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


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

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

Reorder the terms:
6 + 10x = -4(-3 + 5x) + -5x
6 + 10x = (-3 * -4 + 5x * -4) + -5x
6 + 10x = (12 + -20x) + -5x

Combine like terms: -20x + -5x = -25x
6 + 10x = 12 + -25x

Solving
6 + 10x = 12 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
6 + 10x + 25x = 12 + -25x + 25x

Combine like terms: 10x + 25x = 35x
6 + 35x = 12 + -25x + 25x

Combine like terms: -25x + 25x = 0
6 + 35x = 12 + 0
6 + 35x = 12

Add '-6' to each side of the equation.
6 + -6 + 35x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 35x = 12 + -6
35x = 12 + -6

Combine like terms: 12 + -6 = 6
35x = 6

Divide each side by '35'.
x = 0.1714285714

Simplifying
x = 0.1714285714

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