5(2x-3)-(6-3x)=2(5x+2)-5(5-3x)

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Solution for 5(2x-3)-(6-3x)=2(5x+2)-5(5-3x) equation: 


Simplifying
5(2x + -3) + -1(6 + -3x) = 2(5x + 2) + -5(5 + -3x)

Reorder the terms:
5(-3 + 2x) + -1(6 + -3x) = 2(5x + 2) + -5(5 + -3x)
(-3 * 5 + 2x * 5) + -1(6 + -3x) = 2(5x + 2) + -5(5 + -3x)
(-15 + 10x) + -1(6 + -3x) = 2(5x + 2) + -5(5 + -3x)
-15 + 10x + (6 * -1 + -3x * -1) = 2(5x + 2) + -5(5 + -3x)
-15 + 10x + (-6 + 3x) = 2(5x + 2) + -5(5 + -3x)

Reorder the terms:
-15 + -6 + 10x + 3x = 2(5x + 2) + -5(5 + -3x)

Combine like terms: -15 + -6 = -21
-21 + 10x + 3x = 2(5x + 2) + -5(5 + -3x)

Combine like terms: 10x + 3x = 13x
-21 + 13x = 2(5x + 2) + -5(5 + -3x)

Reorder the terms:
-21 + 13x = 2(2 + 5x) + -5(5 + -3x)
-21 + 13x = (2 * 2 + 5x * 2) + -5(5 + -3x)
-21 + 13x = (4 + 10x) + -5(5 + -3x)
-21 + 13x = 4 + 10x + (5 * -5 + -3x * -5)
-21 + 13x = 4 + 10x + (-25 + 15x)

Reorder the terms:
-21 + 13x = 4 + -25 + 10x + 15x

Combine like terms: 4 + -25 = -21
-21 + 13x = -21 + 10x + 15x

Combine like terms: 10x + 15x = 25x
-21 + 13x = -21 + 25x

Add '21' to each side of the equation.
-21 + 21 + 13x = -21 + 21 + 25x

Combine like terms: -21 + 21 = 0
0 + 13x = -21 + 21 + 25x
13x = -21 + 21 + 25x

Combine like terms: -21 + 21 = 0
13x = 0 + 25x
13x = 25x

Solving
13x = 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.
13x + -25x = 25x + -25x

Combine like terms: 13x + -25x = -12x
-12x = 25x + -25x

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

Divide each side by '-12'.
x = 0

Simplifying
x = 0

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