0.6x-0.4(16-3x)=-0.8(x-5)

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Solution for 0.6x-0.4(16-3x)=-0.8(x-5) equation:


Simplifying
0.6x + -0.4(16 + -3x) = -0.8(x + -5)
0.6x + (16 * -0.4 + -3x * -0.4) = -0.8(x + -5)
0.6x + (-6.4 + 1.2x) = -0.8(x + -5)

Reorder the terms:
-6.4 + 0.6x + 1.2x = -0.8(x + -5)

Combine like terms: 0.6x + 1.2x = 1.8x
-6.4 + 1.8x = -0.8(x + -5)

Reorder the terms:
-6.4 + 1.8x = -0.8(-5 + x)
-6.4 + 1.8x = (-5 * -0.8 + x * -0.8)
-6.4 + 1.8x = (4 + -0.8x)

Solving
-6.4 + 1.8x = 4 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-6.4 + 1.8x + 0.8x = 4 + -0.8x + 0.8x

Combine like terms: 1.8x + 0.8x = 2.6x
-6.4 + 2.6x = 4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-6.4 + 2.6x = 4 + 0.0
-6.4 + 2.6x = 4

Add '6.4' to each side of the equation.
-6.4 + 6.4 + 2.6x = 4 + 6.4

Combine like terms: -6.4 + 6.4 = 0.0
0.0 + 2.6x = 4 + 6.4
2.6x = 4 + 6.4

Combine like terms: 4 + 6.4 = 10.4
2.6x = 10.4

Divide each side by '2.6'.
x = 4

Simplifying
x = 4

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