.6(2x+8)=3(1-4x)+15

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Solution for .6(2x+8)=3(1-4x)+15 equation: 


Simplifying
0.6(2x + 8) = 3(1 + -4x) + 15

Reorder the terms:
0.6(8 + 2x) = 3(1 + -4x) + 15
(8 * 0.6 + 2x * 0.6) = 3(1 + -4x) + 15
(4.8 + 1.2x) = 3(1 + -4x) + 15
4.8 + 1.2x = (1 * 3 + -4x * 3) + 15
4.8 + 1.2x = (3 + -12x) + 15

Reorder the terms:
4.8 + 1.2x = 3 + 15 + -12x

Combine like terms: 3 + 15 = 18
4.8 + 1.2x = 18 + -12x

Solving
4.8 + 1.2x = 18 + -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.
4.8 + 1.2x + 12x = 18 + -12x + 12x

Combine like terms: 1.2x + 12x = 13.2x
4.8 + 13.2x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
4.8 + 13.2x = 18 + 0
4.8 + 13.2x = 18

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 13.2x = 18 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 13.2x = 18 + -4.8
13.2x = 18 + -4.8

Combine like terms: 18 + -4.8 = 13.2
13.2x = 13.2

Divide each side by '13.2'.
x = 1

Simplifying
x = 1

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