0.5x-0.6(3-2x)=-0.4(x-6)

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Solution for 0.5x-0.6(3-2x)=-0.4(x-6) equation:


Simplifying
0.5x + -0.6(3 + -2x) = -0.4(x + -6)
0.5x + (3 * -0.6 + -2x * -0.6) = -0.4(x + -6)
0.5x + (-1.8 + 1.2x) = -0.4(x + -6)

Reorder the terms:
-1.8 + 0.5x + 1.2x = -0.4(x + -6)

Combine like terms: 0.5x + 1.2x = 1.7x
-1.8 + 1.7x = -0.4(x + -6)

Reorder the terms:
-1.8 + 1.7x = -0.4(-6 + x)
-1.8 + 1.7x = (-6 * -0.4 + x * -0.4)
-1.8 + 1.7x = (2.4 + -0.4x)

Solving
-1.8 + 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.
-1.8 + 1.7x + 0.4x = 2.4 + -0.4x + 0.4x

Combine like terms: 1.7x + 0.4x = 2.1x
-1.8 + 2.1x = 2.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-1.8 + 2.1x = 2.4 + 0.0
-1.8 + 2.1x = 2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.1x = 2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.1x = 2.4 + 1.8
2.1x = 2.4 + 1.8

Combine like terms: 2.4 + 1.8 = 4.2
2.1x = 4.2

Divide each side by '2.1'.
x = 2

Simplifying
x = 2

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