0.4x-0.6(14-5x)=-0.9(x-5)

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Solution for 0.4x-0.6(14-5x)=-0.9(x-5) equation: 


Simplifying
0.4x + -0.6(14 + -5x) = -0.9(x + -5)
0.4x + (14 * -0.6 + -5x * -0.6) = -0.9(x + -5)
0.4x + (-8.4 + 3x) = -0.9(x + -5)

Reorder the terms:
-8.4 + 0.4x + 3x = -0.9(x + -5)

Combine like terms: 0.4x + 3x = 3.4x
-8.4 + 3.4x = -0.9(x + -5)

Reorder the terms:
-8.4 + 3.4x = -0.9(-5 + x)
-8.4 + 3.4x = (-5 * -0.9 + x * -0.9)
-8.4 + 3.4x = (4.5 + -0.9x)

Solving
-8.4 + 3.4x = 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.
-8.4 + 3.4x + 0.9x = 4.5 + -0.9x + 0.9x

Combine like terms: 3.4x + 0.9x = 4.3x
-8.4 + 4.3x = 4.5 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-8.4 + 4.3x = 4.5 + 0.0
-8.4 + 4.3x = 4.5

Add '8.4' to each side of the equation.
-8.4 + 8.4 + 4.3x = 4.5 + 8.4

Combine like terms: -8.4 + 8.4 = 0.0
0.0 + 4.3x = 4.5 + 8.4
4.3x = 4.5 + 8.4

Combine like terms: 4.5 + 8.4 = 12.9
4.3x = 12.9

Divide each side by '4.3'.
x = 3

Simplifying
x = 3

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