0.4(2x+3)=2(1-3x)+6

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Solution for 0.4(2x+3)=2(1-3x)+6 equation: 


Simplifying
0.4(2x + 3) = 2(1 + -3x) + 6

Reorder the terms:
0.4(3 + 2x) = 2(1 + -3x) + 6
(3 * 0.4 + 2x * 0.4) = 2(1 + -3x) + 6
(1.2 + 0.8x) = 2(1 + -3x) + 6
1.2 + 0.8x = (1 * 2 + -3x * 2) + 6
1.2 + 0.8x = (2 + -6x) + 6

Reorder the terms:
1.2 + 0.8x = 2 + 6 + -6x

Combine like terms: 2 + 6 = 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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