0.2(x+3)=4(2x+9)+4x

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Solution for 0.2(x+3)=4(2x+9)+4x equation:


Simplifying
0.2(x + 3) = 4(2x + 9) + 4x

Reorder the terms:
0.2(3 + x) = 4(2x + 9) + 4x
(3 * 0.2 + x * 0.2) = 4(2x + 9) + 4x
(0.6 + 0.2x) = 4(2x + 9) + 4x

Reorder the terms:
0.6 + 0.2x = 4(9 + 2x) + 4x
0.6 + 0.2x = (9 * 4 + 2x * 4) + 4x
0.6 + 0.2x = (36 + 8x) + 4x

Combine like terms: 8x + 4x = 12x
0.6 + 0.2x = 36 + 12x

Solving
0.6 + 0.2x = 36 + 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.
0.6 + 0.2x + -12x = 36 + 12x + -12x

Combine like terms: 0.2x + -12x = -11.8x
0.6 + -11.8x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
0.6 + -11.8x = 36 + 0
0.6 + -11.8x = 36

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -11.8x = 36 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -11.8x = 36 + -0.6
-11.8x = 36 + -0.6

Combine like terms: 36 + -0.6 = 35.4
-11.8x = 35.4

Divide each side by '-11.8'.
x = -3

Simplifying
x = -3

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