0.5x+6(0.1x-0.4)=-0.4(x-9)

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Solution for 0.5x+6(0.1x-0.4)=-0.4(x-9) equation: 


Simplifying
0.5x + 6(0.1x + -0.4) = -0.4(x + -9)

Reorder the terms:
0.5x + 6(-0.4 + 0.1x) = -0.4(x + -9)
0.5x + (-0.4 * 6 + 0.1x * 6) = -0.4(x + -9)
0.5x + (-2.4 + 0.6x) = -0.4(x + -9)

Reorder the terms:
-2.4 + 0.5x + 0.6x = -0.4(x + -9)

Combine like terms: 0.5x + 0.6x = 1.1x
-2.4 + 1.1x = -0.4(x + -9)

Reorder the terms:
-2.4 + 1.1x = -0.4(-9 + x)
-2.4 + 1.1x = (-9 * -0.4 + x * -0.4)
-2.4 + 1.1x = (3.6 + -0.4x)

Solving
-2.4 + 1.1x = 3.6 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-2.4 + 1.1x + 0.4x = 3.6 + -0.4x + 0.4x

Combine like terms: 1.1x + 0.4x = 1.5x
-2.4 + 1.5x = 3.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-2.4 + 1.5x = 3.6 + 0.0
-2.4 + 1.5x = 3.6

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1.5x = 3.6 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1.5x = 3.6 + 2.4
1.5x = 3.6 + 2.4

Combine like terms: 3.6 + 2.4 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4

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