0.1x-0.2(10-3x)=-0.8(x-5)

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Solution for 0.1x-0.2(10-3x)=-0.8(x-5) equation:


Simplifying
0.1x + -0.2(10 + -3x) = -0.8(x + -5)
0.1x + (10 * -0.2 + -3x * -0.2) = -0.8(x + -5)
0.1x + (-2 + 0.6x) = -0.8(x + -5)

Reorder the terms:
-2 + 0.1x + 0.6x = -0.8(x + -5)

Combine like terms: 0.1x + 0.6x = 0.7x
-2 + 0.7x = -0.8(x + -5)

Reorder the terms:
-2 + 0.7x = -0.8(-5 + x)
-2 + 0.7x = (-5 * -0.8 + x * -0.8)
-2 + 0.7x = (4 + -0.8x)

Solving
-2 + 0.7x = 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.
-2 + 0.7x + 0.8x = 4 + -0.8x + 0.8x

Combine like terms: 0.7x + 0.8x = 1.5x
-2 + 1.5x = 4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-2 + 1.5x = 4 + 0.0
-2 + 1.5x = 4

Add '2' to each side of the equation.
-2 + 2 + 1.5x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 1.5x = 4 + 2
1.5x = 4 + 2

Combine like terms: 4 + 2 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4

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