.2(2x+1)=2(4-3x)+5

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Solution for .2(2x+1)=2(4-3x)+5 equation: 


Simplifying
0.2(2x + 1) = 2(4 + -3x) + 5

Reorder the terms:
0.2(1 + 2x) = 2(4 + -3x) + 5
(1 * 0.2 + 2x * 0.2) = 2(4 + -3x) + 5
(0.2 + 0.4x) = 2(4 + -3x) + 5
0.2 + 0.4x = (4 * 2 + -3x * 2) + 5
0.2 + 0.4x = (8 + -6x) + 5

Reorder the terms:
0.2 + 0.4x = 8 + 5 + -6x

Combine like terms: 8 + 5 = 13
0.2 + 0.4x = 13 + -6x

Solving
0.2 + 0.4x = 13 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0.2 + 0.4x + 6x = 13 + -6x + 6x

Combine like terms: 0.4x + 6x = 6.4x
0.2 + 6.4x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.2 + 6.4x = 13 + 0
0.2 + 6.4x = 13

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 6.4x = 13 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 6.4x = 13 + -0.2
6.4x = 13 + -0.2

Combine like terms: 13 + -0.2 = 12.8
6.4x = 12.8

Divide each side by '6.4'.
x = 2

Simplifying
x = 2

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