6x-3(0.2x+3)=2x

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Solution for 6x-3(0.2x+3)=2x equation:


Simplifying
6x + -3(0.2x + 3) = 2x

Reorder the terms:
6x + -3(3 + 0.2x) = 2x
6x + (3 * -3 + 0.2x * -3) = 2x
6x + (-9 + -0.6x) = 2x

Reorder the terms:
-9 + 6x + -0.6x = 2x

Combine like terms: 6x + -0.6x = 5.4x
-9 + 5.4x = 2x

Solving
-9 + 5.4x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 5.4x + -2x = 2x + -2x

Combine like terms: 5.4x + -2x = 3.4x
-9 + 3.4x = 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 3.4x = 0

Add '9' to each side of the equation.
-9 + 9 + 3.4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3.4x = 0 + 9
3.4x = 0 + 9

Combine like terms: 0 + 9 = 9
3.4x = 9

Divide each side by '3.4'.
x = 2.647058824

Simplifying
x = 2.647058824

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