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

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


Simplifying
6(2 + -2x) = 5(4 + -3x)
(2 * 6 + -2x * 6) = 5(4 + -3x)
(12 + -12x) = 5(4 + -3x)
12 + -12x = (4 * 5 + -3x * 5)
12 + -12x = (20 + -15x)

Solving
12 + -12x = 20 + -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.
12 + -12x + 15x = 20 + -15x + 15x

Combine like terms: -12x + 15x = 3x
12 + 3x = 20 + -15x + 15x

Combine like terms: -15x + 15x = 0
12 + 3x = 20 + 0
12 + 3x = 20

Add '-12' to each side of the equation.
12 + -12 + 3x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 20 + -12
3x = 20 + -12

Combine like terms: 20 + -12 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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