6-x=0.3(9x-18)

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Solution for 6-x=0.3(9x-18) equation:


Simplifying
6 + -1x = 0.3(9x + -18)

Reorder the terms:
6 + -1x = 0.3(-18 + 9x)
6 + -1x = (-18 * 0.3 + 9x * 0.3)
6 + -1x = (-5.4 + 2.7x)

Solving
6 + -1x = -5.4 + 2.7x

Solving for variable 'x'.

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

Add '-2.7x' to each side of the equation.
6 + -1x + -2.7x = -5.4 + 2.7x + -2.7x

Combine like terms: -1x + -2.7x = -3.7x
6 + -3.7x = -5.4 + 2.7x + -2.7x

Combine like terms: 2.7x + -2.7x = 0.0
6 + -3.7x = -5.4 + 0.0
6 + -3.7x = -5.4

Add '-6' to each side of the equation.
6 + -6 + -3.7x = -5.4 + -6

Combine like terms: 6 + -6 = 0
0 + -3.7x = -5.4 + -6
-3.7x = -5.4 + -6

Combine like terms: -5.4 + -6 = -11.4
-3.7x = -11.4

Divide each side by '-3.7'.
x = 3.081081081

Simplifying
x = 3.081081081

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