0.6x-0.1(9-3x)=-0.9(x-5)

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Solution for 0.6x-0.1(9-3x)=-0.9(x-5) equation: 


Simplifying
0.6x + -0.1(9 + -3x) = -0.9(x + -5)
0.6x + (9 * -0.1 + -3x * -0.1) = -0.9(x + -5)
0.6x + (-0.9 + 0.3x) = -0.9(x + -5)

Reorder the terms:
-0.9 + 0.6x + 0.3x = -0.9(x + -5)

Combine like terms: 0.6x + 0.3x = 0.9x
-0.9 + 0.9x = -0.9(x + -5)

Reorder the terms:
-0.9 + 0.9x = -0.9(-5 + x)
-0.9 + 0.9x = (-5 * -0.9 + x * -0.9)
-0.9 + 0.9x = (4.5 + -0.9x)

Solving
-0.9 + 0.9x = 4.5 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
-0.9 + 0.9x + 0.9x = 4.5 + -0.9x + 0.9x

Combine like terms: 0.9x + 0.9x = 1.8x
-0.9 + 1.8x = 4.5 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-0.9 + 1.8x = 4.5 + 0.0
-0.9 + 1.8x = 4.5

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 1.8x = 4.5 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 1.8x = 4.5 + 0.9
1.8x = 4.5 + 0.9

Combine like terms: 4.5 + 0.9 = 5.4
1.8x = 5.4

Divide each side by '1.8'.
x = 3

Simplifying
x = 3

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