0.1(x+8)=2(2x+6)+20

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Solution for 0.1(x+8)=2(2x+6)+20 equation: 


Simplifying
0.1(x + 8) = 2(2x + 6) + 20

Reorder the terms:
0.1(8 + x) = 2(2x + 6) + 20
(8 * 0.1 + x * 0.1) = 2(2x + 6) + 20
(0.8 + 0.1x) = 2(2x + 6) + 20

Reorder the terms:
0.8 + 0.1x = 2(6 + 2x) + 20
0.8 + 0.1x = (6 * 2 + 2x * 2) + 20
0.8 + 0.1x = (12 + 4x) + 20

Reorder the terms:
0.8 + 0.1x = 12 + 20 + 4x

Combine like terms: 12 + 20 = 32
0.8 + 0.1x = 32 + 4x

Solving
0.8 + 0.1x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
0.8 + 0.1x + -4x = 32 + 4x + -4x

Combine like terms: 0.1x + -4x = -3.9x
0.8 + -3.9x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
0.8 + -3.9x = 32 + 0
0.8 + -3.9x = 32

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -3.9x = 32 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -3.9x = 32 + -0.8
-3.9x = 32 + -0.8

Combine like terms: 32 + -0.8 = 31.2
-3.9x = 31.2

Divide each side by '-3.9'.
x = -8

Simplifying
x = -8

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