.1(4x-8)+.2(x-4)=-.8x

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Solution for .1(4x-8)+.2(x-4)=-.8x equation:


Simplifying
0.1(4x + -8) + 0.2(x + -4) = -0.8x

Reorder the terms:
0.1(-8 + 4x) + 0.2(x + -4) = -0.8x
(-8 * 0.1 + 4x * 0.1) + 0.2(x + -4) = -0.8x
(-0.8 + 0.4x) + 0.2(x + -4) = -0.8x

Reorder the terms:
-0.8 + 0.4x + 0.2(-4 + x) = -0.8x
-0.8 + 0.4x + (-4 * 0.2 + x * 0.2) = -0.8x
-0.8 + 0.4x + (-0.8 + 0.2x) = -0.8x

Reorder the terms:
-0.8 + -0.8 + 0.4x + 0.2x = -0.8x

Combine like terms: -0.8 + -0.8 = -1.6
-1.6 + 0.4x + 0.2x = -0.8x

Combine like terms: 0.4x + 0.2x = 0.6x
-1.6 + 0.6x = -0.8x

Solving
-1.6 + 0.6x = -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.
-1.6 + 0.6x + 0.8x = -0.8x + 0.8x

Combine like terms: 0.6x + 0.8x = 1.4x
-1.6 + 1.4x = -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-1.6 + 1.4x = 0.0

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.4x = 0.0 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.4x = 0.0 + 1.6
1.4x = 0.0 + 1.6

Combine like terms: 0.0 + 1.6 = 1.6
1.4x = 1.6

Divide each side by '1.4'.
x = 1.142857143

Simplifying
x = 1.142857143

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