20-2(3x-4)=3(6-5x)

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Solution for 20-2(3x-4)=3(6-5x) equation:


Simplifying
20 + -2(3x + -4) = 3(6 + -5x)

Reorder the terms:
20 + -2(-4 + 3x) = 3(6 + -5x)
20 + (-4 * -2 + 3x * -2) = 3(6 + -5x)
20 + (8 + -6x) = 3(6 + -5x)

Combine like terms: 20 + 8 = 28
28 + -6x = 3(6 + -5x)
28 + -6x = (6 * 3 + -5x * 3)
28 + -6x = (18 + -15x)

Solving
28 + -6x = 18 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
28 + -6x + 15x = 18 + -15x + 15x

Combine like terms: -6x + 15x = 9x
28 + 9x = 18 + -15x + 15x

Combine like terms: -15x + 15x = 0
28 + 9x = 18 + 0
28 + 9x = 18

Add '-28' to each side of the equation.
28 + -28 + 9x = 18 + -28

Combine like terms: 28 + -28 = 0
0 + 9x = 18 + -28
9x = 18 + -28

Combine like terms: 18 + -28 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111

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