(X+3)(1.8)=(x-3)(3)

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Solution for (X+3)(1.8)=(x-3)(3) equation:


Simplifying
(X + 3)(1.8) = (x + -3)(3)

Reorder the terms:
(3 + X)(1.8) = (x + -3)(3)

Reorder the terms for easier multiplication:
1.8(3 + X) = (x + -3)(3)
(3 * 1.8 + X * 1.8) = (x + -3)(3)
(5.4 + 1.8X) = (x + -3)(3)

Reorder the terms:
5.4 + 1.8X = (-3 + x)(3)

Reorder the terms for easier multiplication:
5.4 + 1.8X = 3(-3 + x)
5.4 + 1.8X = (-3 * 3 + x * 3)
5.4 + 1.8X = (-9 + 3x)

Solving
5.4 + 1.8X = -9 + 3x

Solving for variable 'X'.

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

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 1.8X = -9 + -5.4 + 3x

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 1.8X = -9 + -5.4 + 3x
1.8X = -9 + -5.4 + 3x

Combine like terms: -9 + -5.4 = -14.4
1.8X = -14.4 + 3x

Divide each side by '1.8'.
X = -8 + 1.666666667x

Simplifying
X = -8 + 1.666666667x

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