0.3(3x-12)=6-2(x-1)

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Solution for 0.3(3x-12)=6-2(x-1) equation: 


Simplifying
0.3(3x + -12) = 6 + -2(x + -1)

Reorder the terms:
0.3(-12 + 3x) = 6 + -2(x + -1)
(-12 * 0.3 + 3x * 0.3) = 6 + -2(x + -1)
(-3.6 + 0.9x) = 6 + -2(x + -1)

Reorder the terms:
-3.6 + 0.9x = 6 + -2(-1 + x)
-3.6 + 0.9x = 6 + (-1 * -2 + x * -2)
-3.6 + 0.9x = 6 + (2 + -2x)

Combine like terms: 6 + 2 = 8
-3.6 + 0.9x = 8 + -2x

Solving
-3.6 + 0.9x = 8 + -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.
-3.6 + 0.9x + 2x = 8 + -2x + 2x

Combine like terms: 0.9x + 2x = 2.9x
-3.6 + 2.9x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3.6 + 2.9x = 8 + 0
-3.6 + 2.9x = 8

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 2.9x = 8 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 2.9x = 8 + 3.6
2.9x = 8 + 3.6

Combine like terms: 8 + 3.6 = 11.6
2.9x = 11.6

Divide each side by '2.9'.
x = 4

Simplifying
x = 4

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