0.5(x+5)-0.8(x+1)=8

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Solution for 0.5(x+5)-0.8(x+1)=8 equation: 


Simplifying
0.5(x + 5) + -0.8(x + 1) = 8

Reorder the terms:
0.5(5 + x) + -0.8(x + 1) = 8
(5 * 0.5 + x * 0.5) + -0.8(x + 1) = 8
(2.5 + 0.5x) + -0.8(x + 1) = 8

Reorder the terms:
2.5 + 0.5x + -0.8(1 + x) = 8
2.5 + 0.5x + (1 * -0.8 + x * -0.8) = 8
2.5 + 0.5x + (-0.8 + -0.8x) = 8

Reorder the terms:
2.5 + -0.8 + 0.5x + -0.8x = 8

Combine like terms: 2.5 + -0.8 = 1.7
1.7 + 0.5x + -0.8x = 8

Combine like terms: 0.5x + -0.8x = -0.3x
1.7 + -0.3x = 8

Solving
1.7 + -0.3x = 8

Solving for variable 'x'.

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

Add '-1.7' to each side of the equation.
1.7 + -1.7 + -0.3x = 8 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + -0.3x = 8 + -1.7
-0.3x = 8 + -1.7

Combine like terms: 8 + -1.7 = 6.3
-0.3x = 6.3

Divide each side by '-0.3'.
x = -21

Simplifying
x = -21

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