6(10-2x)=(2-3x)

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Solution for 6(10-2x)=(2-3x) equation:


Simplifying
6(10 + -2x) = (2 + -3x)
(10 * 6 + -2x * 6) = (2 + -3x)
(60 + -12x) = (2 + -3x)

Remove parenthesis around (2 + -3x)
60 + -12x = 2 + -3x

Solving
60 + -12x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
60 + -12x + 3x = 2 + -3x + 3x

Combine like terms: -12x + 3x = -9x
60 + -9x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
60 + -9x = 2 + 0
60 + -9x = 2

Add '-60' to each side of the equation.
60 + -60 + -9x = 2 + -60

Combine like terms: 60 + -60 = 0
0 + -9x = 2 + -60
-9x = 2 + -60

Combine like terms: 2 + -60 = -58
-9x = -58

Divide each side by '-9'.
x = 6.444444444

Simplifying
x = 6.444444444

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