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

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


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

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

Reorder the terms:
6 + 10x = -5(-5 + 4x) + -4x
6 + 10x = (-5 * -5 + 4x * -5) + -4x
6 + 10x = (25 + -20x) + -4x

Combine like terms: -20x + -4x = -24x
6 + 10x = 25 + -24x

Solving
6 + 10x = 25 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
6 + 10x + 24x = 25 + -24x + 24x

Combine like terms: 10x + 24x = 34x
6 + 34x = 25 + -24x + 24x

Combine like terms: -24x + 24x = 0
6 + 34x = 25 + 0
6 + 34x = 25

Add '-6' to each side of the equation.
6 + -6 + 34x = 25 + -6

Combine like terms: 6 + -6 = 0
0 + 34x = 25 + -6
34x = 25 + -6

Combine like terms: 25 + -6 = 19
34x = 19

Divide each side by '34'.
x = 0.5588235294

Simplifying
x = 0.5588235294

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