13.47+0.09(x+3)=13.97-0.11x

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Solution for 13.47+0.09(x+3)=13.97-0.11x equation: 


Simplifying
13.47 + 0.09(x + 3) = 13.97 + -0.11x

Reorder the terms:
13.47 + 0.09(3 + x) = 13.97 + -0.11x
13.47 + (3 * 0.09 + x * 0.09) = 13.97 + -0.11x
13.47 + (0.27 + 0.09x) = 13.97 + -0.11x

Combine like terms: 13.47 + 0.27 = 13.74
13.74 + 0.09x = 13.97 + -0.11x

Solving
13.74 + 0.09x = 13.97 + -0.11x

Solving for variable 'x'.

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

Add '0.11x' to each side of the equation.
13.74 + 0.09x + 0.11x = 13.97 + -0.11x + 0.11x

Combine like terms: 0.09x + 0.11x = 0.2x
13.74 + 0.2x = 13.97 + -0.11x + 0.11x

Combine like terms: -0.11x + 0.11x = 0.00
13.74 + 0.2x = 13.97 + 0.00
13.74 + 0.2x = 13.97

Add '-13.74' to each side of the equation.
13.74 + -13.74 + 0.2x = 13.97 + -13.74

Combine like terms: 13.74 + -13.74 = 0.00
0.00 + 0.2x = 13.97 + -13.74
0.2x = 13.97 + -13.74

Combine like terms: 13.97 + -13.74 = 0.23
0.2x = 0.23

Divide each side by '0.2'.
x = 1.15

Simplifying
x = 1.15

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