0.6(6x+3)=6(x-3)

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Solution for 0.6(6x+3)=6(x-3) equation:


Simplifying
0.6(6x + 3) = 6(x + -3)

Reorder the terms:
0.6(3 + 6x) = 6(x + -3)
(3 * 0.6 + 6x * 0.6) = 6(x + -3)
(1.8 + 3.6x) = 6(x + -3)

Reorder the terms:
1.8 + 3.6x = 6(-3 + x)
1.8 + 3.6x = (-3 * 6 + x * 6)
1.8 + 3.6x = (-18 + 6x)

Solving
1.8 + 3.6x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1.8 + 3.6x + -6x = -18 + 6x + -6x

Combine like terms: 3.6x + -6x = -2.4x
1.8 + -2.4x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
1.8 + -2.4x = -18 + 0
1.8 + -2.4x = -18

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -2.4x = -18 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -2.4x = -18 + -1.8
-2.4x = -18 + -1.8

Combine like terms: -18 + -1.8 = -19.8
-2.4x = -19.8

Divide each side by '-2.4'.
x = 8.25

Simplifying
x = 8.25

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