(0.5-x)*(x+1.2)=(2-x)*(x+0.2)

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Solution for (0.5-x)*(x+1.2)=(2-x)*(x+0.2) equation: 


Simplifying
(0.5 + -1x)(x + 1.2) = (2 + -1x)(x + 0.2)

Reorder the terms:
(0.5 + -1x)(1.2 + x) = (2 + -1x)(x + 0.2)

Multiply (0.5 + -1x) * (1.2 + x)
(0.5(1.2 + x) + -1x * (1.2 + x)) = (2 + -1x)(x + 0.2)
((1.2 * 0.5 + x * 0.5) + -1x * (1.2 + x)) = (2 + -1x)(x + 0.2)
((0.6 + 0.5x) + -1x * (1.2 + x)) = (2 + -1x)(x + 0.2)
(0.6 + 0.5x + (1.2 * -1x + x * -1x)) = (2 + -1x)(x + 0.2)
(0.6 + 0.5x + (-1.2x + -1x2)) = (2 + -1x)(x + 0.2)

Combine like terms: 0.5x + -1.2x = -0.7x
(0.6 + -0.7x + -1x2) = (2 + -1x)(x + 0.2)

Reorder the terms:
0.6 + -0.7x + -1x2 = (2 + -1x)(0.2 + x)

Multiply (2 + -1x) * (0.2 + x)
0.6 + -0.7x + -1x2 = (2(0.2 + x) + -1x * (0.2 + x))
0.6 + -0.7x + -1x2 = ((0.2 * 2 + x * 2) + -1x * (0.2 + x))
0.6 + -0.7x + -1x2 = ((0.4 + 2x) + -1x * (0.2 + x))
0.6 + -0.7x + -1x2 = (0.4 + 2x + (0.2 * -1x + x * -1x))
0.6 + -0.7x + -1x2 = (0.4 + 2x + (-0.2x + -1x2))

Combine like terms: 2x + -0.2x = 1.8x
0.6 + -0.7x + -1x2 = (0.4 + 1.8x + -1x2)

Add 'x2' to each side of the equation.
0.6 + -0.7x + -1x2 + x2 = 0.4 + 1.8x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0.6 + -0.7x + 0 = 0.4 + 1.8x + -1x2 + x2
0.6 + -0.7x = 0.4 + 1.8x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0.6 + -0.7x = 0.4 + 1.8x + 0
0.6 + -0.7x = 0.4 + 1.8x

Solving
0.6 + -0.7x = 0.4 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
0.6 + -0.7x + -1.8x = 0.4 + 1.8x + -1.8x

Combine like terms: -0.7x + -1.8x = -2.5x
0.6 + -2.5x = 0.4 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
0.6 + -2.5x = 0.4 + 0.0
0.6 + -2.5x = 0.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -2.5x = 0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -2.5x = 0.4 + -0.6
-2.5x = 0.4 + -0.6

Combine like terms: 0.4 + -0.6 = -0.2
-2.5x = -0.2

Divide each side by '-2.5'.
x = 0.08

Simplifying
x = 0.08

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