12.94+0.13(x+3)=13.44-0.11x

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Solution for 12.94+0.13(x+3)=13.44-0.11x equation: 


Simplifying
12.94 + 0.13(x + 3) = 13.44 + -0.11x

Reorder the terms:
12.94 + 0.13(3 + x) = 13.44 + -0.11x
12.94 + (3 * 0.13 + x * 0.13) = 13.44 + -0.11x
12.94 + (0.39 + 0.13x) = 13.44 + -0.11x

Combine like terms: 12.94 + 0.39 = 13.33
13.33 + 0.13x = 13.44 + -0.11x

Solving
13.33 + 0.13x = 13.44 + -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.
13.33 + 0.13x + 0.11x = 13.44 + -0.11x + 0.11x

Combine like terms: 0.13x + 0.11x = 0.24x
13.33 + 0.24x = 13.44 + -0.11x + 0.11x

Combine like terms: -0.11x + 0.11x = 0.00
13.33 + 0.24x = 13.44 + 0.00
13.33 + 0.24x = 13.44

Add '-13.33' to each side of the equation.
13.33 + -13.33 + 0.24x = 13.44 + -13.33

Combine like terms: 13.33 + -13.33 = 0.00
0.00 + 0.24x = 13.44 + -13.33
0.24x = 13.44 + -13.33

Combine like terms: 13.44 + -13.33 = 0.11
0.24x = 0.11

Divide each side by '0.24'.
x = 0.4583333333

Simplifying
x = 0.4583333333

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