0.3(4x+1)=2(2-3x)+11

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Solution for 0.3(4x+1)=2(2-3x)+11 equation: 


Simplifying
0.3(4x + 1) = 2(2 + -3x) + 11

Reorder the terms:
0.3(1 + 4x) = 2(2 + -3x) + 11
(1 * 0.3 + 4x * 0.3) = 2(2 + -3x) + 11
(0.3 + 1.2x) = 2(2 + -3x) + 11
0.3 + 1.2x = (2 * 2 + -3x * 2) + 11
0.3 + 1.2x = (4 + -6x) + 11

Reorder the terms:
0.3 + 1.2x = 4 + 11 + -6x

Combine like terms: 4 + 11 = 15
0.3 + 1.2x = 15 + -6x

Solving
0.3 + 1.2x = 15 + -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.
0.3 + 1.2x + 6x = 15 + -6x + 6x

Combine like terms: 1.2x + 6x = 7.2x
0.3 + 7.2x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.3 + 7.2x = 15 + 0
0.3 + 7.2x = 15

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 7.2x = 15 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 7.2x = 15 + -0.3
7.2x = 15 + -0.3

Combine like terms: 15 + -0.3 = 14.7
7.2x = 14.7

Divide each side by '7.2'.
x = 2.041666667

Simplifying
x = 2.041666667

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