.2(8x+1)=.3x+4

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Solution for .2(8x+1)=.3x+4 equation: 


Simplifying
0.2(8x + 1) = 0.3x + 4

Reorder the terms:
0.2(1 + 8x) = 0.3x + 4
(1 * 0.2 + 8x * 0.2) = 0.3x + 4
(0.2 + 1.6x) = 0.3x + 4

Reorder the terms:
0.2 + 1.6x = 4 + 0.3x

Solving
0.2 + 1.6x = 4 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.2 + 1.6x + -0.3x = 4 + 0.3x + -0.3x

Combine like terms: 1.6x + -0.3x = 1.3x
0.2 + 1.3x = 4 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.2 + 1.3x = 4 + 0.0
0.2 + 1.3x = 4

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 1.3x = 4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 1.3x = 4 + -0.2
1.3x = 4 + -0.2

Combine like terms: 4 + -0.2 = 3.8
1.3x = 3.8

Divide each side by '1.3'.
x = 2.923076923

Simplifying
x = 2.923076923

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