0.4x-0.1(9-3x)=-0.6(x-5)

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Solution for 0.4x-0.1(9-3x)=-0.6(x-5) equation:


Simplifying
0.4x + -0.1(9 + -3x) = -0.6(x + -5)
0.4x + (9 * -0.1 + -3x * -0.1) = -0.6(x + -5)
0.4x + (-0.9 + 0.3x) = -0.6(x + -5)

Reorder the terms:
-0.9 + 0.4x + 0.3x = -0.6(x + -5)

Combine like terms: 0.4x + 0.3x = 0.7x
-0.9 + 0.7x = -0.6(x + -5)

Reorder the terms:
-0.9 + 0.7x = -0.6(-5 + x)
-0.9 + 0.7x = (-5 * -0.6 + x * -0.6)
-0.9 + 0.7x = (3 + -0.6x)

Solving
-0.9 + 0.7x = 3 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-0.9 + 0.7x + 0.6x = 3 + -0.6x + 0.6x

Combine like terms: 0.7x + 0.6x = 1.3x
-0.9 + 1.3x = 3 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-0.9 + 1.3x = 3 + 0.0
-0.9 + 1.3x = 3

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 1.3x = 3 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 1.3x = 3 + 0.9
1.3x = 3 + 0.9

Combine like terms: 3 + 0.9 = 3.9
1.3x = 3.9

Divide each side by '1.3'.
x = 3

Simplifying
x = 3

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