.16(7x+3)=12-.27x

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Solution for .16(7x+3)=12-.27x equation: 


Simplifying
0.16(7x + 3) = 12 + -0.27x

Reorder the terms:
0.16(3 + 7x) = 12 + -0.27x
(3 * 0.16 + 7x * 0.16) = 12 + -0.27x
(0.48 + 1.12x) = 12 + -0.27x

Solving
0.48 + 1.12x = 12 + -0.27x

Solving for variable 'x'.

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

Add '0.27x' to each side of the equation.
0.48 + 1.12x + 0.27x = 12 + -0.27x + 0.27x

Combine like terms: 1.12x + 0.27x = 1.39x
0.48 + 1.39x = 12 + -0.27x + 0.27x

Combine like terms: -0.27x + 0.27x = 0.00
0.48 + 1.39x = 12 + 0.00
0.48 + 1.39x = 12

Add '-0.48' to each side of the equation.
0.48 + -0.48 + 1.39x = 12 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + 1.39x = 12 + -0.48
1.39x = 12 + -0.48

Combine like terms: 12 + -0.48 = 11.52
1.39x = 11.52

Divide each side by '1.39'.
x = 8.287769784

Simplifying
x = 8.287769784

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