.2(4x+6)=3(1-2x)+5

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Solution for .2(4x+6)=3(1-2x)+5 equation: 


Simplifying
0.2(4x + 6) = 3(1 + -2x) + 5

Reorder the terms:
0.2(6 + 4x) = 3(1 + -2x) + 5
(6 * 0.2 + 4x * 0.2) = 3(1 + -2x) + 5
(1.2 + 0.8x) = 3(1 + -2x) + 5
1.2 + 0.8x = (1 * 3 + -2x * 3) + 5
1.2 + 0.8x = (3 + -6x) + 5

Reorder the terms:
1.2 + 0.8x = 3 + 5 + -6x

Combine like terms: 3 + 5 = 8
1.2 + 0.8x = 8 + -6x

Solving
1.2 + 0.8x = 8 + -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.
1.2 + 0.8x + 6x = 8 + -6x + 6x

Combine like terms: 0.8x + 6x = 6.8x
1.2 + 6.8x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
1.2 + 6.8x = 8 + 0
1.2 + 6.8x = 8

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 6.8x = 8 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 6.8x = 8 + -1.2
6.8x = 8 + -1.2

Combine like terms: 8 + -1.2 = 6.8
6.8x = 6.8

Divide each side by '6.8'.
x = 1

Simplifying
x = 1

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