0.2(4x+7)=3(4-4x)+15

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Solution for 0.2(4x+7)=3(4-4x)+15 equation: 


Simplifying
0.2(4x + 7) = 3(4 + -4x) + 15

Reorder the terms:
0.2(7 + 4x) = 3(4 + -4x) + 15
(7 * 0.2 + 4x * 0.2) = 3(4 + -4x) + 15
(1.4 + 0.8x) = 3(4 + -4x) + 15
1.4 + 0.8x = (4 * 3 + -4x * 3) + 15
1.4 + 0.8x = (12 + -12x) + 15

Reorder the terms:
1.4 + 0.8x = 12 + 15 + -12x

Combine like terms: 12 + 15 = 27
1.4 + 0.8x = 27 + -12x

Solving
1.4 + 0.8x = 27 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
1.4 + 0.8x + 12x = 27 + -12x + 12x

Combine like terms: 0.8x + 12x = 12.8x
1.4 + 12.8x = 27 + -12x + 12x

Combine like terms: -12x + 12x = 0
1.4 + 12.8x = 27 + 0
1.4 + 12.8x = 27

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 12.8x = 27 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 12.8x = 27 + -1.4
12.8x = 27 + -1.4

Combine like terms: 27 + -1.4 = 25.6
12.8x = 25.6

Divide each side by '12.8'.
x = 2

Simplifying
x = 2

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