0.6(4x+11)=3(2-4x)+15

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Solution for 0.6(4x+11)=3(2-4x)+15 equation: 


Simplifying
0.6(4x + 11) = 3(2 + -4x) + 15

Reorder the terms:
0.6(11 + 4x) = 3(2 + -4x) + 15
(11 * 0.6 + 4x * 0.6) = 3(2 + -4x) + 15
(6.6 + 2.4x) = 3(2 + -4x) + 15
6.6 + 2.4x = (2 * 3 + -4x * 3) + 15
6.6 + 2.4x = (6 + -12x) + 15

Reorder the terms:
6.6 + 2.4x = 6 + 15 + -12x

Combine like terms: 6 + 15 = 21
6.6 + 2.4x = 21 + -12x

Solving
6.6 + 2.4x = 21 + -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.
6.6 + 2.4x + 12x = 21 + -12x + 12x

Combine like terms: 2.4x + 12x = 14.4x
6.6 + 14.4x = 21 + -12x + 12x

Combine like terms: -12x + 12x = 0
6.6 + 14.4x = 21 + 0
6.6 + 14.4x = 21

Add '-6.6' to each side of the equation.
6.6 + -6.6 + 14.4x = 21 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + 14.4x = 21 + -6.6
14.4x = 21 + -6.6

Combine like terms: 21 + -6.6 = 14.4
14.4x = 14.4

Divide each side by '14.4'.
x = 1

Simplifying
x = 1

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