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

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


Simplifying
2 + -1(3x + -20) = 6(x + -2)

Reorder the terms:
2 + -1(-20 + 3x) = 6(x + -2)
2 + (-20 * -1 + 3x * -1) = 6(x + -2)
2 + (20 + -3x) = 6(x + -2)

Combine like terms: 2 + 20 = 22
22 + -3x = 6(x + -2)

Reorder the terms:
22 + -3x = 6(-2 + x)
22 + -3x = (-2 * 6 + x * 6)
22 + -3x = (-12 + 6x)

Solving
22 + -3x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + -3x + -6x = -12 + 6x + -6x

Combine like terms: -3x + -6x = -9x
22 + -9x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -9x = -12 + 0
22 + -9x = -12

Add '-22' to each side of the equation.
22 + -22 + -9x = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = -12 + -22
-9x = -12 + -22

Combine like terms: -12 + -22 = -34
-9x = -34

Divide each side by '-9'.
x = 3.777777778

Simplifying
x = 3.777777778

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