3(2x-7)+6(x-3)=-3(3-5x)+5x-20

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Solution for 3(2x-7)+6(x-3)=-3(3-5x)+5x-20 equation: 


Simplifying
3(2x + -7) + 6(x + -3) = -3(3 + -5x) + 5x + -20

Reorder the terms:
3(-7 + 2x) + 6(x + -3) = -3(3 + -5x) + 5x + -20
(-7 * 3 + 2x * 3) + 6(x + -3) = -3(3 + -5x) + 5x + -20
(-21 + 6x) + 6(x + -3) = -3(3 + -5x) + 5x + -20

Reorder the terms:
-21 + 6x + 6(-3 + x) = -3(3 + -5x) + 5x + -20
-21 + 6x + (-3 * 6 + x * 6) = -3(3 + -5x) + 5x + -20
-21 + 6x + (-18 + 6x) = -3(3 + -5x) + 5x + -20

Reorder the terms:
-21 + -18 + 6x + 6x = -3(3 + -5x) + 5x + -20

Combine like terms: -21 + -18 = -39
-39 + 6x + 6x = -3(3 + -5x) + 5x + -20

Combine like terms: 6x + 6x = 12x
-39 + 12x = -3(3 + -5x) + 5x + -20
-39 + 12x = (3 * -3 + -5x * -3) + 5x + -20
-39 + 12x = (-9 + 15x) + 5x + -20

Reorder the terms:
-39 + 12x = -9 + -20 + 15x + 5x

Combine like terms: -9 + -20 = -29
-39 + 12x = -29 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-39 + 12x = -29 + 20x

Solving
-39 + 12x = -29 + 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.
-39 + 12x + -20x = -29 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-39 + -8x = -29 + 20x + -20x

Combine like terms: 20x + -20x = 0
-39 + -8x = -29 + 0
-39 + -8x = -29

Add '39' to each side of the equation.
-39 + 39 + -8x = -29 + 39

Combine like terms: -39 + 39 = 0
0 + -8x = -29 + 39
-8x = -29 + 39

Combine like terms: -29 + 39 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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