0.5(x+3)=0.8(10-x)

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Solution for 0.5(x+3)=0.8(10-x) equation: 


Simplifying
0.5(x + 3) = 0.8(10 + -1x)

Reorder the terms:
0.5(3 + x) = 0.8(10 + -1x)
(3 * 0.5 + x * 0.5) = 0.8(10 + -1x)
(1.5 + 0.5x) = 0.8(10 + -1x)
1.5 + 0.5x = (10 * 0.8 + -1x * 0.8)
1.5 + 0.5x = (8 + -0.8x)

Solving
1.5 + 0.5x = 8 + -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.
1.5 + 0.5x + 0.8x = 8 + -0.8x + 0.8x

Combine like terms: 0.5x + 0.8x = 1.3x
1.5 + 1.3x = 8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
1.5 + 1.3x = 8 + 0.0
1.5 + 1.3x = 8

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1.3x = 8 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.3x = 8 + -1.5
1.3x = 8 + -1.5

Combine like terms: 8 + -1.5 = 6.5
1.3x = 6.5

Divide each side by '1.3'.
x = 5

Simplifying
x = 5

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