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

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


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

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

Reorder the terms:
8 + 10x = -5(-5 + 4x) + 3x
8 + 10x = (-5 * -5 + 4x * -5) + 3x
8 + 10x = (25 + -20x) + 3x

Combine like terms: -20x + 3x = -17x
8 + 10x = 25 + -17x

Solving
8 + 10x = 25 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
8 + 10x + 17x = 25 + -17x + 17x

Combine like terms: 10x + 17x = 27x
8 + 27x = 25 + -17x + 17x

Combine like terms: -17x + 17x = 0
8 + 27x = 25 + 0
8 + 27x = 25

Add '-8' to each side of the equation.
8 + -8 + 27x = 25 + -8

Combine like terms: 8 + -8 = 0
0 + 27x = 25 + -8
27x = 25 + -8

Combine like terms: 25 + -8 = 17
27x = 17

Divide each side by '27'.
x = 0.6296296296

Simplifying
x = 0.6296296296

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