0.4(x+2)-2(0.3x-0.2)=1.4x-0.5(x+3)

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Solution for 0.4(x+2)-2(0.3x-0.2)=1.4x-0.5(x+3) equation: 


Simplifying
0.4(x + 2) + -2(0.3x + -0.2) = 1.4x + -0.5(x + 3)

Reorder the terms:
0.4(2 + x) + -2(0.3x + -0.2) = 1.4x + -0.5(x + 3)
(2 * 0.4 + x * 0.4) + -2(0.3x + -0.2) = 1.4x + -0.5(x + 3)
(0.8 + 0.4x) + -2(0.3x + -0.2) = 1.4x + -0.5(x + 3)

Reorder the terms:
0.8 + 0.4x + -2(-0.2 + 0.3x) = 1.4x + -0.5(x + 3)
0.8 + 0.4x + (-0.2 * -2 + 0.3x * -2) = 1.4x + -0.5(x + 3)
0.8 + 0.4x + (0.4 + -0.6x) = 1.4x + -0.5(x + 3)

Reorder the terms:
0.8 + 0.4 + 0.4x + -0.6x = 1.4x + -0.5(x + 3)

Combine like terms: 0.8 + 0.4 = 1.2
1.2 + 0.4x + -0.6x = 1.4x + -0.5(x + 3)

Combine like terms: 0.4x + -0.6x = -0.2x
1.2 + -0.2x = 1.4x + -0.5(x + 3)

Reorder the terms:
1.2 + -0.2x = 1.4x + -0.5(3 + x)
1.2 + -0.2x = 1.4x + (3 * -0.5 + x * -0.5)
1.2 + -0.2x = 1.4x + (-1.5 + -0.5x)

Reorder the terms:
1.2 + -0.2x = -1.5 + 1.4x + -0.5x

Combine like terms: 1.4x + -0.5x = 0.9x
1.2 + -0.2x = -1.5 + 0.9x

Solving
1.2 + -0.2x = -1.5 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
1.2 + -0.2x + -0.9x = -1.5 + 0.9x + -0.9x

Combine like terms: -0.2x + -0.9x = -1.1x
1.2 + -1.1x = -1.5 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
1.2 + -1.1x = -1.5 + 0.0
1.2 + -1.1x = -1.5

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -1.1x = -1.5 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.1x = -1.5 + -1.2
-1.1x = -1.5 + -1.2

Combine like terms: -1.5 + -1.2 = -2.7
-1.1x = -2.7

Divide each side by '-1.1'.
x = 2.454545455

Simplifying
x = 2.454545455

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