2(x-4)+0.5(2+8x)=5.6

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Solution for 2(x-4)+0.5(2+8x)=5.6 equation:


Simplifying
2(x + -4) + 0.5(2 + 8x) = 5.6

Reorder the terms:
2(-4 + x) + 0.5(2 + 8x) = 5.6
(-4 * 2 + x * 2) + 0.5(2 + 8x) = 5.6
(-8 + 2x) + 0.5(2 + 8x) = 5.6
-8 + 2x + (2 * 0.5 + 8x * 0.5) = 5.6
-8 + 2x + (1 + 4x) = 5.6

Reorder the terms:
-8 + 1 + 2x + 4x = 5.6

Combine like terms: -8 + 1 = -7
-7 + 2x + 4x = 5.6

Combine like terms: 2x + 4x = 6x
-7 + 6x = 5.6

Solving
-7 + 6x = 5.6

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 = 5.6 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 5.6 + 7
6x = 5.6 + 7

Combine like terms: 5.6 + 7 = 12.6
6x = 12.6

Divide each side by '6'.
x = 2.1

Simplifying
x = 2.1

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