2(x-4)+0.5(2+8x)=8

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Solution for 2(x-4)+0.5(2+8x)=8 equation: 


Simplifying
2(x + -4) + 0.5(2 + 8x) = 8

Reorder the terms:
2(-4 + x) + 0.5(2 + 8x) = 8
(-4 * 2 + x * 2) + 0.5(2 + 8x) = 8
(-8 + 2x) + 0.5(2 + 8x) = 8
-8 + 2x + (2 * 0.5 + 8x * 0.5) = 8
-8 + 2x + (1 + 4x) = 8

Reorder the terms:
-8 + 1 + 2x + 4x = 8

Combine like terms: -8 + 1 = -7
-7 + 2x + 4x = 8

Combine like terms: 2x + 4x = 6x
-7 + 6x = 8

Solving
-7 + 6x = 8

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 8 + 7
6x = 8 + 7

Combine like terms: 8 + 7 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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