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

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Solution for 2(3x-5)+6(x-3)=-3(3-5x)+5x-1 equation: 


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

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

Reorder the terms:
-10 + 6x + 6(-3 + x) = -3(3 + -5x) + 5x + -1
-10 + 6x + (-3 * 6 + x * 6) = -3(3 + -5x) + 5x + -1
-10 + 6x + (-18 + 6x) = -3(3 + -5x) + 5x + -1

Reorder the terms:
-10 + -18 + 6x + 6x = -3(3 + -5x) + 5x + -1

Combine like terms: -10 + -18 = -28
-28 + 6x + 6x = -3(3 + -5x) + 5x + -1

Combine like terms: 6x + 6x = 12x
-28 + 12x = -3(3 + -5x) + 5x + -1
-28 + 12x = (3 * -3 + -5x * -3) + 5x + -1
-28 + 12x = (-9 + 15x) + 5x + -1

Reorder the terms:
-28 + 12x = -9 + -1 + 15x + 5x

Combine like terms: -9 + -1 = -10
-28 + 12x = -10 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-28 + 12x = -10 + 20x

Solving
-28 + 12x = -10 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-28 + 12x + -20x = -10 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-28 + -8x = -10 + 20x + -20x

Combine like terms: 20x + -20x = 0
-28 + -8x = -10 + 0
-28 + -8x = -10

Add '28' to each side of the equation.
-28 + 28 + -8x = -10 + 28

Combine like terms: -28 + 28 = 0
0 + -8x = -10 + 28
-8x = -10 + 28

Combine like terms: -10 + 28 = 18
-8x = 18

Divide each side by '-8'.
x = -2.25

Simplifying
x = -2.25

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