0.5(10x+0.8)=4(0.5x-0.4)+6

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Solution for 0.5(10x+0.8)=4(0.5x-0.4)+6 equation: 


Simplifying
0.5(10x + 0.8) = 4(0.5x + -0.4) + 6

Reorder the terms:
0.5(0.8 + 10x) = 4(0.5x + -0.4) + 6
(0.8 * 0.5 + 10x * 0.5) = 4(0.5x + -0.4) + 6
(0.4 + 5x) = 4(0.5x + -0.4) + 6

Reorder the terms:
0.4 + 5x = 4(-0.4 + 0.5x) + 6
0.4 + 5x = (-0.4 * 4 + 0.5x * 4) + 6
0.4 + 5x = (-1.6 + 2x) + 6

Reorder the terms:
0.4 + 5x = -1.6 + 6 + 2x

Combine like terms: -1.6 + 6 = 4.4
0.4 + 5x = 4.4 + 2x

Solving
0.4 + 5x = 4.4 + 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.
0.4 + 5x + -2x = 4.4 + 2x + -2x

Combine like terms: 5x + -2x = 3x
0.4 + 3x = 4.4 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.4 + 3x = 4.4 + 0
0.4 + 3x = 4.4

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 3x = 4.4 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 3x = 4.4 + -0.4
3x = 4.4 + -0.4

Combine like terms: 4.4 + -0.4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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