2+0.1(4-x)=1.6x-(0.8x-2.4)

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Solution for 2+0.1(4-x)=1.6x-(0.8x-2.4) equation:


Simplifying
2 + 0.1(4 + -1x) = 1.6x + -1(0.8x + -2.4)
2 + (4 * 0.1 + -1x * 0.1) = 1.6x + -1(0.8x + -2.4)
2 + (0.4 + -0.1x) = 1.6x + -1(0.8x + -2.4)

Combine like terms: 2 + 0.4 = 2.4
2.4 + -0.1x = 1.6x + -1(0.8x + -2.4)

Reorder the terms:
2.4 + -0.1x = 1.6x + -1(-2.4 + 0.8x)
2.4 + -0.1x = 1.6x + (-2.4 * -1 + 0.8x * -1)
2.4 + -0.1x = 1.6x + (2.4 + -0.8x)

Reorder the terms:
2.4 + -0.1x = 2.4 + 1.6x + -0.8x

Combine like terms: 1.6x + -0.8x = 0.8x
2.4 + -0.1x = 2.4 + 0.8x

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.1x = 2.4 + -2.4 + 0.8x

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.1x = 2.4 + -2.4 + 0.8x
-0.1x = 2.4 + -2.4 + 0.8x

Combine like terms: 2.4 + -2.4 = 0.0
-0.1x = 0.0 + 0.8x
-0.1x = 0.8x

Solving
-0.1x = 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.
-0.1x + -0.8x = 0.8x + -0.8x

Combine like terms: -0.1x + -0.8x = -0.9x
-0.9x = 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-0.9x = 0.0

Divide each side by '-0.9'.
x = 0

Simplifying
x = 0

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