8(4x+3.8)=5(x+6)-2

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Solution for 8(4x+3.8)=5(x+6)-2 equation: 


Simplifying
8(4x + 3.8) = 5(x + 6) + -2

Reorder the terms:
8(3.8 + 4x) = 5(x + 6) + -2
(3.8 * 8 + 4x * 8) = 5(x + 6) + -2
(30.4 + 32x) = 5(x + 6) + -2

Reorder the terms:
30.4 + 32x = 5(6 + x) + -2
30.4 + 32x = (6 * 5 + x * 5) + -2
30.4 + 32x = (30 + 5x) + -2

Reorder the terms:
30.4 + 32x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
30.4 + 32x = 28 + 5x

Solving
30.4 + 32x = 28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30.4 + 32x + -5x = 28 + 5x + -5x

Combine like terms: 32x + -5x = 27x
30.4 + 27x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
30.4 + 27x = 28 + 0
30.4 + 27x = 28

Add '-30.4' to each side of the equation.
30.4 + -30.4 + 27x = 28 + -30.4

Combine like terms: 30.4 + -30.4 = 0.0
0.0 + 27x = 28 + -30.4
27x = 28 + -30.4

Combine like terms: 28 + -30.4 = -2.4
27x = -2.4

Divide each side by '27'.
x = -0.08888888889

Simplifying
x = -0.08888888889

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