12.27+0.05(x+3)=12.77-0.16x

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Solution for 12.27+0.05(x+3)=12.77-0.16x equation: 


Simplifying
12.27 + 0.05(x + 3) = 12.77 + -0.16x

Reorder the terms:
12.27 + 0.05(3 + x) = 12.77 + -0.16x
12.27 + (3 * 0.05 + x * 0.05) = 12.77 + -0.16x
12.27 + (0.15 + 0.05x) = 12.77 + -0.16x

Combine like terms: 12.27 + 0.15 = 12.42
12.42 + 0.05x = 12.77 + -0.16x

Solving
12.42 + 0.05x = 12.77 + -0.16x

Solving for variable 'x'.

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

Add '0.16x' to each side of the equation.
12.42 + 0.05x + 0.16x = 12.77 + -0.16x + 0.16x

Combine like terms: 0.05x + 0.16x = 0.21x
12.42 + 0.21x = 12.77 + -0.16x + 0.16x

Combine like terms: -0.16x + 0.16x = 0.00
12.42 + 0.21x = 12.77 + 0.00
12.42 + 0.21x = 12.77

Add '-12.42' to each side of the equation.
12.42 + -12.42 + 0.21x = 12.77 + -12.42

Combine like terms: 12.42 + -12.42 = 0.00
0.00 + 0.21x = 12.77 + -12.42
0.21x = 12.77 + -12.42

Combine like terms: 12.77 + -12.42 = 0.35
0.21x = 0.35

Divide each side by '0.21'.
x = 1.666666667

Simplifying
x = 1.666666667

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