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

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


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

Reorder the terms:
3(2 + 5x) = -5(2x + -5)
(2 * 3 + 5x * 3) = -5(2x + -5)
(6 + 15x) = -5(2x + -5)

Reorder the terms:
6 + 15x = -5(-5 + 2x)
6 + 15x = (-5 * -5 + 2x * -5)
6 + 15x = (25 + -10x)

Solving
6 + 15x = 25 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 15x + 10x = 25 + -10x + 10x

Combine like terms: 15x + 10x = 25x
6 + 25x = 25 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 25x = 25 + 0
6 + 25x = 25

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

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

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

Divide each side by '25'.
x = 0.76

Simplifying
x = 0.76

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