0.5x-0.3(20-4x)=-0.4(x-6)

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Solution for 0.5x-0.3(20-4x)=-0.4(x-6) equation:


Simplifying
0.5x + -0.3(20 + -4x) = -0.4(x + -6)
0.5x + (20 * -0.3 + -4x * -0.3) = -0.4(x + -6)
0.5x + (-6 + 1.2x) = -0.4(x + -6)

Reorder the terms:
-6 + 0.5x + 1.2x = -0.4(x + -6)

Combine like terms: 0.5x + 1.2x = 1.7x
-6 + 1.7x = -0.4(x + -6)

Reorder the terms:
-6 + 1.7x = -0.4(-6 + x)
-6 + 1.7x = (-6 * -0.4 + x * -0.4)
-6 + 1.7x = (2.4 + -0.4x)

Solving
-6 + 1.7x = 2.4 + -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.
-6 + 1.7x + 0.4x = 2.4 + -0.4x + 0.4x

Combine like terms: 1.7x + 0.4x = 2.1x
-6 + 2.1x = 2.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-6 + 2.1x = 2.4 + 0.0
-6 + 2.1x = 2.4

Add '6' to each side of the equation.
-6 + 6 + 2.1x = 2.4 + 6

Combine like terms: -6 + 6 = 0
0 + 2.1x = 2.4 + 6
2.1x = 2.4 + 6

Combine like terms: 2.4 + 6 = 8.4
2.1x = 8.4

Divide each side by '2.1'.
x = 4

Simplifying
x = 4

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