0.2(1-8x)+1.1=-5(0.4x-0.3)

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Solution for 0.2(1-8x)+1.1=-5(0.4x-0.3) equation:


Simplifying
0.2(1 + -8x) + 1.1 = -5(0.4x + -0.3)
(1 * 0.2 + -8x * 0.2) + 1.1 = -5(0.4x + -0.3)
(0.2 + -1.6x) + 1.1 = -5(0.4x + -0.3)

Reorder the terms:
0.2 + 1.1 + -1.6x = -5(0.4x + -0.3)

Combine like terms: 0.2 + 1.1 = 1.3
1.3 + -1.6x = -5(0.4x + -0.3)

Reorder the terms:
1.3 + -1.6x = -5(-0.3 + 0.4x)
1.3 + -1.6x = (-0.3 * -5 + 0.4x * -5)
1.3 + -1.6x = (1.5 + -2x)

Solving
1.3 + -1.6x = 1.5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1.3 + -1.6x + 2x = 1.5 + -2x + 2x

Combine like terms: -1.6x + 2x = 0.4x
1.3 + 0.4x = 1.5 + -2x + 2x

Combine like terms: -2x + 2x = 0
1.3 + 0.4x = 1.5 + 0
1.3 + 0.4x = 1.5

Add '-1.3' to each side of the equation.
1.3 + -1.3 + 0.4x = 1.5 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + 0.4x = 1.5 + -1.3
0.4x = 1.5 + -1.3

Combine like terms: 1.5 + -1.3 = 0.2
0.4x = 0.2

Divide each side by '0.4'.
x = 0.5

Simplifying
x = 0.5

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