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

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


Simplifying
20x + -3(3 + -2x) = 2(4x + -3)
20x + (3 * -3 + -2x * -3) = 2(4x + -3)
20x + (-9 + 6x) = 2(4x + -3)

Reorder the terms:
-9 + 20x + 6x = 2(4x + -3)

Combine like terms: 20x + 6x = 26x
-9 + 26x = 2(4x + -3)

Reorder the terms:
-9 + 26x = 2(-3 + 4x)
-9 + 26x = (-3 * 2 + 4x * 2)
-9 + 26x = (-6 + 8x)

Solving
-9 + 26x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-9 + 26x + -8x = -6 + 8x + -8x

Combine like terms: 26x + -8x = 18x
-9 + 18x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + 18x = -6 + 0
-9 + 18x = -6

Add '9' to each side of the equation.
-9 + 9 + 18x = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 18x = -6 + 9
18x = -6 + 9

Combine like terms: -6 + 9 = 3
18x = 3

Divide each side by '18'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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