6.2(1+8x)=-31.42+7.8x

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Solution for 6.2(1+8x)=-31.42+7.8x equation: 


Simplifying
6.2(1 + 8x) = -31.42 + 7.8x
(1 * 6.2 + 8x * 6.2) = -31.42 + 7.8x
(6.2 + 49.6x) = -31.42 + 7.8x

Solving
6.2 + 49.6x = -31.42 + 7.8x

Solving for variable 'x'.

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

Add '-7.8x' to each side of the equation.
6.2 + 49.6x + -7.8x = -31.42 + 7.8x + -7.8x

Combine like terms: 49.6x + -7.8x = 41.8x
6.2 + 41.8x = -31.42 + 7.8x + -7.8x

Combine like terms: 7.8x + -7.8x = 0.0
6.2 + 41.8x = -31.42 + 0.0
6.2 + 41.8x = -31.42

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 41.8x = -31.42 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 41.8x = -31.42 + -6.2
41.8x = -31.42 + -6.2

Combine like terms: -31.42 + -6.2 = -37.62
41.8x = -37.62

Divide each side by '41.8'.
x = -0.9

Simplifying
x = -0.9

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